Fundamentals of Statistics, 5th Edition Test Bank

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ExamName___________________________________SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Provide an appropriate response.1)Identify the sample space of the probability experiment: tossing a coin1)Answer:(head, tail)2)Identify the sample space of the probability experiment: answering a true or false question2)Answer:(true, false)3)Identify the sample space of the probability experiment: tossing four coins and recordingthe number of heads3)Answer:(0, 1, 2, 3, 4)4)Identify the sample space of the probability experiment: answering a multiple choicequestion with A, B, C, D and E as the possible answers4)Answer:(A, B, C, D, E)5)Identify the sample space of the probability experiment: determining the puppie's genderfor a litter of three puppies (Use M for male and F for female.)5)Answer:(MMM), (MMF), (MFM), (FMM), (MFF), (FMF), (FFM), (FFF)MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.6)Which of the following probabilities for the sample points A, B, and C could be true if A, B, and Care the only sample points in an experiment?6)A)P(A)=1/5, P(B)=1/8, P(C)=1/6B)P(A)=-1/4, P(B)=1/2, P(C)=3/4C)P(A)=1/9, P(B)=1/9, P(C)=1/9D)P(A)=0, P(B)=1/15, P(C)=14/15Answer:D7)If A, B, C, and D, are the only possible outcomes of an experiment, find the probability of D usingthe table below.OutcomeABCDProbability1/141/141/14.7)A)11/14B)1/4C)3/14D)1/14Answer:A1

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8)In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. Theprobability of drawing a particular color from that bag is given below. Is this a probability model?Answer Yes or No.ColorProbabilityRed0.2299Green0.1908Orange0.2168Yellow0.1889Purple0.18168)A)NoB)YesAnswer:B9)A bag contains 25 wooden beads. The colors of the beads are red, blue, white, green, black, brown,and grey. The probability of randomly selecting a bead of a particular color from the bag is givenbelow. Is this a probability model? Answer yes or No.ColorRedBlueWhiteGreenBlackBrownGreyProbability0.280.240.200.160.120.080.039)A)YesB)NoAnswer:B10)Which of the following cannot be the probability of an event?10)A)0B)0.001C)-61D)53Answer:C11)The probability that event A will occur is P(A)=Number of successful outcomesNumber of unsuccessful outcomes11)A)TrueB)FalseAnswer:B12)The probability that event A will occur is P(A)=Number of successful outcomesTotal number of all possible outcomes12)A)FalseB)TrueAnswer:B13)In terms of probability, a(n) ___________________ is any process with uncertain results that can berepeated.13)A)Sample spaceB)OutcomeC)ExperimentD)EventAnswer:C14)A(n) _______________ of a probability experiment is the collection of all outcomes possible.14)A)Prediction setB)Sample spaceC)Event setD)Bernoulli spaceAnswer:B2

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15)True or False: An event is any collection of outcomes from a probability experiment.15)A)TrueB)FalseAnswer:A16)An unusual event is an event that has a16)A)Probability of 1B)Probability which exceeds 1C)A negative probabilityD)Low probability of occurrenceAnswer:D17)The table below represents a random sample of the number of deaths per 100 cases for a certainillness over time. If a person infected with this illness is randomly selected from all infected people,find the probability that the person lives 3-4 years after diagnosis. Express your answer as asimplified fraction and as a decimal.Years after DiagnosisNumber deaths1-2153-4355-6167-899-10611-12413-14215+1317)A)3565; 0.538B)35100; 0.35C)7120; 0.058D)135; 0.029Answer:B18)Recently, the stock market took big swings up and down. A survey of993adult investors askedhow often they tracked their portfolio. The table shows the investor responses. What is theprobability that an adult investor tracks his or her portfolio daily? Express your answer as asimplified fraction and as a decimal rounded to three decimal places.How frequently?ResponseDaily236Weekly272Monthly298Couple times a year133Don't track5418)A)236993;0.238B)298993;0.3C)272993;0.274D)133993;0.134Answer:A3

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The chart below shows the percentage of people in a questionnaire who bought or leased the listed car models and werevery satisfied with the experience.Model A81%Model B79%Model C73%Model D61%Model E59%Model F57%19)With which model was the greatest percentage satisfied? Estimate the empirical probability that aperson with this model is very satisfied with the experience. Express the answer as a fraction witha denominator of 100.19)A)Model F;57100B)Model F;0.57100C)Model A;81100D)Model A:0.81100Answer:C20)The empirical probability that a person with a model shown is very satisfied with the experience is57100. What is the model?20)A)BB)DC)ED)FAnswer:DProvide an appropriate response.21)True or False: The probability of an event E in an empirical experiment may change fromexperiment to experiment.21)A)FalseB)TrueAnswer:B22)Use the spinner below to answer the question. Assume that it is equally probable that the pointerwill land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again.Find the probability that the arrow will land on3or1.22)A)13B)1C)3D)25Answer:D4

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23)Use the spinner below to answer the question. Assume that it is equally probable that the pointerwill land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again.Find the probability that the arrow will land on an odd number.23)A)0B)35C)1D)25Answer:B24)You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a6.24)A)726B)132C)7D)213Answer:D25)A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a3.25)A)12B)16C)3D)0Answer:B26)A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a10.26)A)10B)1C)106D)0Answer:D27)You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picturecard.27)A)313B)352C)326D)113Answer:A28)A fair coin is tossed two times in succession. The set of equally likely outcomes is{HH, HT, TH, TT}.Find the probability of getting the same outcome on each toss.28)A)34B)12C)1D)14Answer:B29)A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4),(1, 5),(1, 6),(2, 1),(2, 2),(2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3),(4, 4),(4, 5),(4, 6),(5, 1),(5, 2),(5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find theprobability of getting two numbers whose sum is greater than10.29)A)3B)112C)118D)518Answer:B5

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30)A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4),(1, 5),(1, 6),(2, 1),(2, 2),(2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3),(4, 4),(4, 5),(4, 6),(5, 1),(5, 2),(5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find theprobability of getting two numbers whose sum is less than 13.30)A)1B)0C)14D)12Answer:A31)A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4),(1, 5),(1, 6),(2, 1),(2, 2),(2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3),(4, 4),(4, 5),(4, 6),(5, 1),(5, 2),(5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find theprobability of getting two numbers whose sum is greater than 9 and less than 13.31)A)536B)16C)0D)736Answer:B32)This problem deals with eye color, an inherited trait. For purposes of this problem, assume thatonly two eye colors are possible, brown and blue. We use b to represent a blue eye gene and B abrown eye gene. If any B genes are present, the person will have brown eyes. The table shows thefour possibilities for the children of two Bb (brown-eyed) parents, where each parent has one ofeach eye color gene.Second ParentFirst ParentBbBBBBbbBbbbFind the probability that these parents give birth to a child who has blue eyes.32)A)14B)1C)0D)12Answer:A33)Three fair coins are tossed in the air and land on a table. The up side of each coin is noted. Howmany elements are there in the sample space?33)A)4B)8C)3D)6Answer:B34)The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.What is the probability of exactly two heads?34)A)38B)58C)12D)3Answer:A35)In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red,and 2 slots are green. We watched a friend play roulette for two hours. In that time we noted thatthe wheel was spun 50 times and that out of those 50 spins black came up 22 times. Based on thisdata, theP(black )=2250=0.44.This is an example of what type of probability?35)A)ObservationalB)EmpiricalC)SubjectiveD)ClassicalAnswer:B6

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36)In the game of roulette in the United States a wheel has 38 slots: 18 slots are black, 18 slots are red,and 2 slots are green. TheP(Red)=1838Y0.47.This is an example of what type of probability?36)A)ClassicalB)SubjectiveC)SimulatedD)EmpiricalAnswer:A37)Classify the statement as an example of classical probability, empirical probability, or subjectiveprobability. The probability that it will snow tomorrow is84%.37)A)empirical probabilityB)subjective probabilityC)classical probabilityAnswer:B38)Classify the statement as an example of classical probability, empirical probability, or subjectiveprobability. It is known that the probability of hitting a pothole while driving on a certain road is1%.38)A)classical probabilityB)empirical probabilityC)subjective probabilityAnswer:B39)Classify the statement as an example of classical probability, empirical probability, or subjectiveprobability. The probability that cab fares will rise during the winter is 0.05.39)A)classical probabilityB)subjective probabilityC)empirical probabilityAnswer:B40)Classify the statement as an example of classical probability, empirical probability, or subjectiveprobability. In one state lottery, a person selects a 4-digit number. The probability of winning thisstate's lottery is110,000.40)A)empirical probabilityB)subjective probabilityC)classical probabilityAnswer:C41)Classify the statement as an example of classical probability, empirical probability, or subjectiveprobability. The probability that a newborn kitten is a male is12.41)A)empirical probabilityB)subjective probabilityC)classical probabilityAnswer:C42)The ______________ probability of an outcome is a probability based on personal judgment.42)A)EmpiricalB)ConditionalC)SubjectiveD)ClassicalAnswer:C43)The ______________ probability of an outcome is obtained by dividing the frequency of occurrenceof an event by the number of trials of the experiment.43)A)EmpiricalB)ClassicalC)SubjectiveD)ConditionalAnswer:A44)The ______________ probability of an outcome is obtained by dividing the number of ways anevent can occur by the number of possible outcomes.44)A)ClassicalB)EmpiricalC)SubjectiveD)ConditionalAnswer:A7

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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Solve the problem.45)(a) Roll a pair of dice 40 times, recording the sum each time. Use your results toapproximate the probability of getting a sum of 8.(b) Roll a pair of dice 100 times, recording the sum each time. Use your results toapproximate the probability of getting a sum of 8.Compare the results of (a) and (b) to the probability that would be obtained using theclassical method.Which answer was closer to the probability that would be obtained using the classicalmethod? Is this what you would expect?45)Answer:Answers to parts (a) and (b) will vary. Using the classical method, the probability ofgetting a sum of 8 is536.In general, as the number of repetitions of a probability experiment increases, thecloser the empirical probability should get to the classical probability.46)(a) Simulate the experiment of sampling 100 four-child families to estimate the probabilitythat a four-child family has three girls. Assume that the outcomes "have a girl" and "have aboy" are equally likely.(b) Simulate the experiment of sampling 1000 four-child families to estimate theprobability that a four-child family has three girls. Assume that the outcomes "have a girl"and "have a boy" are equally likely.The classical probability that a four-child family has three girls is14.Compare the results of (a) and (b) to the probability that would be obtained using theclassical method.Which answer was closer to the probability that would be obtained using the classicalmethod? Is this what you would expect?46)Answer:Answers to parts (a) and (b) will vary.The answer in part (b) is likely to be closer to the classical probability of14.In general, as the number of repetitions of a probability experiment increases, thecloser the empirical probability should get to the classical probability.8

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47)(a) Use a graphing calculator or statistical software to simulate drawing a card from astandard deck 100 times (with replacement of the card after each draw). Use an integerdistribution with numbers 1 through 4 and use the results of the simulation to estimate theprobability of getting a spade when a card is drawn from a standard deck.(b) Simulate drawing a card from a standard deck 400 times (with replacement of the cardafter each draw). Estimate the probability of getting a spade when a card is drawn from astandard deck.Compare the results of (a) and (b) to the probability that would be obtained using theclassical method.Which simulation resulted in the closest estimate to the probability that would be obtainedusing the classical method? Is this what you would expect?47)Answer:Answers to parts (a) and (b) will vary.The answer in part (b) is likely to be closer to the classical probability of14.In general, as the number of repetitions of a probability experiment increases, thecloser the empirical probability should get to the classical probability.MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.48)A probability experiment is conducted in which the sample space of the experiment isS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.Let eventA={4,5,6,7}and eventB={10,11,12}.Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutuallyexclusive?48)A){4,5,6,7,10,11,12}; noB){4,5,6,7,10,11,12}; yesC){ }; yesD){ }; noAnswer:C49)The events A and B are mutually exclusive. If P(A)=0.7and P(B)=0.1, what is P(A or B)?49)A)0.07B)0C)0.6D)0.8Answer:D50)The table lists the drinking habits of a group of college students. If a student is chosen at random,find the probability of getting someone who is a regular or heavy drinker. Round your answer tothree decimal places.SexNon-drinkerRegular DrinkerHeavy DrinkerTotalMan135555195Woman187219217Total322761441250)A)0.711B)0.259C)0.155D)0.218Answer:D51)The table lists the drinking habits of a group of college students. If a student is chosen at random,find the probability of getting someone who is a man or a woman. Round your answer to threedecimal places.SexNon-drinkerRegular DrinkerHeavy DrinkerTotalMan135595199Woman1872114222Total322801942151)A)0.917B)0.765C)0.235D)1Answer:D9

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52)The table lists the drinking habits of a group of college students. If a student is chosen at random,find the probability of getting someone who is a non-drinker. Round your answer to three decimalplaces.SexNon-drinkerRegular DrinkerHeavy DrinkerTotalMan135575197Woman1872113221Total322781841852)A)0.770B)0.230C)1D)0.919Answer:A53)The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that astudent majors in only one subject. What is the probability that a randomly selected student with aBachelor's degree majored in Physics or Philosophy? Round your answer to three decimal places.MajorFrequencyPhysics228Philosophy208Engineering86Business176Chemistry22253)A)0.474B)0.226C)0.526D)0.248Answer:A54)The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that astudent majors in only one subject. What is the probability that a randomly selected student with aBachelor's degree majored in Business, Chemistry or Engineering? Round your answer to threedecimal places.MajorFrequencyPhysics216Philosophy207Engineering86Business180Chemistry22754)A)0.342B)0.538C)0.462D)0.290Answer:B55)A card is drawn from a standard deck of 52 playing cards. Find the probability that the card isa picture card.55)A)413B)813C)113D)313Answer:D56)If two events have no outcomes in common they are said to be56)A)At oddsB)IndependentC)DisjointD)ConditionalAnswer:C57)True or False: Mutually exclusive events are not disjoint events.57)A)TrueB)FalseAnswer:B10

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58)The table below shows the probabilities generated by rolling one die 50 times and recording thenumber rolled. Are the events A={ roll an odd number } and B={roll a number less than or equalto two} disjoint?Roll123456Probability0.220.100.180.120.180.2058)A)NoB)YesAnswer:A59)In the game of craps, two dice are tossed and the up faces are totaled. Is the event getting a total of9 and one of the dice showing a 6 mutually exclusive? Answer Yes or No.59)A)YesB)NoAnswer:B60)Using a standard deck of 52 playing cards are the events of getting an ace and getting a jack on thecard drawn mutually exclusive? Answer Yes or No.60)A)NoB)YesAnswer:B61)The below table shows the probabilities generated by rolling one die 50 times and noting the upface. What is the probability of getting an odd up face?Roll123456Probability0.220.100.180.120.180.2061)A)0.50B)0.42C)0.55D)0.58Answer:D62)In the game of craps two dice are rolled and the up faces are totaled. If the person rolling the diceon the first roll rolls a 7 or an 11 total they win. If they roll a 2, 3, or 12 on the first roll they lose. Ifthey roll any other total then on subsequent rolls they must roll that total before rolling a 7 to win.What is the probability of winning on the first roll?62)A)0.50B)0.06C)0.22D)0.17Answer:C63)A probability experiment is conducted in which the sample space of the experiment isS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.Let eventA={6,7,8,9}and eventB={8,9,10,11,12}.Assume that each outcome is equally likely. List the outcomes in A and B. AreA and B mutually exclusive?63)A){8,9}; yesB){6,7,8,9,10,11,12}; noC){8,9}; noD){6,7,8,9,10,11,12}; yesAnswer:C11

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64)A probability experiment is conducted in which the sample space of the experiment isS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}.Let eventA={3,4,5,6}and eventB={5,6,7,8,9}.Assume that each outcome is equally likely. List the outcomes in A or B. Find P(A or B).64)A){5,6};215B){3,4,5,6,7,7,8,9};35C){3,4,5,6,8,9};25D){3,4,5,6,7,8,9};715Answer:D65)The events A and B are mutually exclusive. If P(A)=0.5and P(B)=0.4, what is P(A and B)?65)A)0.2B)0.5C)0.9D)0Answer:D66)Given that P(A or B)=12, P(A)=15, and P(A and B)=18, find P(B). Express the probability as asimplified fraction.66)A)1740B)3340C)316D)2340Answer:A67)The table lists the drinking habits of a group of college students. If a student is chosen at random,find the probability of getting someone who is a man or a non-drinker. Round your answer to threedecimal places.SexNon-drinkerRegular DrinkerHeavy DrinkerTotalMan135475187Woman1872115223Total322682041067)A)0.947B)0.942C)0.912D)0.834Answer:C68)The table lists the drinking habits of a group of college students. If a student is chosen at random,find the probability of getting someone who is a woman or a heavy drinker. Round your answer tothree decimal places.SexNon-drinkerRegular DrinkerHeavy DrinkerTotalMan135695209Woman1872113221Total322901843068)A)0.526B)0.191C)0.791D)0.921Answer:A69)A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is aqueen or a club. Express the probability as a simplified fraction.69)A)752B)313C)213D)413Answer:D12

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70)One hundred people were asked, "Do you favor stronger laws on gun control?" Of the 33 thatanswered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six weremale. If one person is selected at random, what is the probability that this person answered "yes" orwas a male? Round the the nearest hundredth.70)A)0.13B)0.39C)0.67D)0.53Answer:B71)The below table shows the probabilities generated by rolling one die 50 times and noting the upface. What is the probability of getting an odd up face and a two or less? Round the the nearesthundredth.Roll123456Probability0.220.100.180.120.180.2071)A)0.90B)0.32C)0.66D)0.68Answer:D72)You roll two dice and total the up faces. What is the probability of getting a total of 8 or two upfaces that are the same? Round the the nearest hundredth.72)A)0.28B)0.50C)0.31D)0.33Answer:A73)Consider the data in the table shown which represents the marital status of males and females 18years or older in the United States in 2003. Determine the probability that a randomly selected U.S.resident 18 years or older is divorced or a male? Round to the nearest hundredth.Males(in millions)Females(in millions)Total(in millions)Never married28.623.351.9Married62.162.8124.9Widowed2.711.314.0Divorced9.012.721.7Total (in millions)102.4110.1212.5Source: U.S. Census Bureau, Current Population reports73)A)0.54B)0.50C)0.04D)0.58Answer:A74)If one card is drawn from a standard 52 card playing deck, determine the probability of getting aten, a king or a diamond. Round to the nearest hundredth.74)A)0.40B)0.29C)0.37D)0.31Answer:C75)If one card is drawn from a standard 52 card playing deck, determine the probability of getting ajack, a three, a club or a diamond. Round to the nearest hundredth.75)A)0.50B)0.15C)0.58D)0.65Answer:C13

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76)Two dice are rolled. What is the probability of having both faces the same (doubles) or a total of 4or 10? Round to the nearest hundredth.76)A)0.33B)0.15C)0.28D)0.06Answer:C77)A probability experiment is conducted in which the sample space of the experiment isS={5,6,7,8,9,10,11,12,13,14,15}.Let eventA={8,9,10,11,12}. Assume that each outcome isequally likely. List the outcomes inAc. Find P(Ac).77)A){13,14,15};311B){5,6,7,12,13,14,15};711C){5,6,7,13,14,15};611D){8,9,10,11,12};511Answer:C78)You are dealt one card from a 52-card deck. Find the probability that you are not dealt a2. Expressthe probability as a simplified fraction.78)A)1213B)113C)110D)910Answer:A79)You are dealt one card from a 52-card deck. Find the probability that you are not dealt aspade.Express the probability as a simplified fraction.79)A)14B)34C)413D)25Answer:B80)In 5-card poker, played with a standard 52-card deck, 2,598,960 different hands are possible. Ifthere are 624 different ways a "four-of-a-kind" can be dealt, find the probability of not being dealta "four-of-a-kind". Express the probability as a fraction, but do not simplify.80)A)2,598,3362,598,960B)12482,598,960C)6252,598,960D)6242,598,960Answer:A81)A certain disease only affects men 20 years of age or older. The chart shows the probability that aman with the disease falls in the given age group. What is the probability that a randomly selectedman with the disease is not between the ages of 55 and 64?Age GroupProbability20-240.00425-340.00635-440.1445-540.2955-640.3265-740.1775+0.0781)A)0.32B)0.29C)0.24D)0.68Answer:D14

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82)A certain disease only affects men 20 years of age or older. The chart shows the probability that aman with the disease falls in the given age group. What is the probability that a randomly selectedman with the disease is between the ages of 35 and 64?Age GroupProbability20-240.00425-340.00635-440.1445-540.2955-640.3265-740.1775+0.0782)A)0.14B)0.32C)0.75D)0.29Answer:C83)The overnight shipping business has skyrocketed in the last ten years. The single greatest predictorof a company's success has been proven time and again to be customer service. A study wasconducted to study the customer satisfaction levels for one overnight shipping business. In additionto the customer's satisfaction level, the customers were asked how often they used overnightshipping. The results are shown below in the following table. What is the probability that arespondent did not have amediumlevel of satisfaction with the company? Round the the nearesthundredth.Frequency of UseHighSatisfaction levelMediumLowTOTAL<2 per month250140104002-5 per month140555200>5 per month70255100TOTAL4602202070083)A)0.29B)0.71C)0.69D)0.31Answer:C84)A sample of255shoppers at a large suburban mall were asked two questions: (1) Did you see atelevision ad for the sale at department store X during the past 2 weeks? (2) Did you shop atdepartment store X during the past 2 weeks? The responses to the questions are summarized in thetable. What is the probability that a randomly selected shopper from the255questioned did notshop at department store X? Round the the nearest thousandth.Shopped at XDid Not Shop at XSaw ad14520Did not see ad207084)A)0.078B)0.647C)0.275D)0.353Answer:D15

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85)After completing an inventory of three warehouses, a golf club shaft manufacturer described itsstock of 12,246 shafts with the percentages given in the table. Suppose a shaft is selected at randomfrom the 12,246 currently in stock, and the warehouse number and type of shaft are observed. Findthe probability that the shaft was produced in a warehouse other than warehouse 1. Round the thenearest hundredth.Type of ShaftRegularStiffExtra Stiff119%8%8%Warehouse214%13%10%310%18%0%85)A)0.43B)0.35C)0.82D)0.65Answer:D86)The breakdown of workers in a particular state according to their political affiliation and type ofjob held is shown here. Suppose a worker is selected at random within the state and the worker'spolitical affiliation and type of job are noted. Find the probability the worker is not anIndependent. Round the the nearest hundredth.Political AffiliationRepublicanDemocratIndependentWhite collar10%17%8%Type of jobBlue Collar14%12%39%86)A)0.47B)0.27C)0.26D)0.53Answer:D87)A local country club has a membership of 600 and operates facilities that include an 18-holechampionship golf course and 12 tennis courts. Before deciding whether to accept new members,the club president would like to know how many members regularly use each facility. A survey ofthe membership indicates that60% regularly use the golf course,47% regularly use the tenniscourts, and8% use neither of these facilities regularly. What percentage of the 600 use at least oneof the golf or tennis facilities?87)A)92%B)15%C)99%D)8%Answer:A88)Fill in the blank. Theof an event A is the event that A does not occur.88)A)Venn diagramB)intersectionC)complementD)unionAnswer:C16

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89)The following Venn diagram is for the six sample points possible when rolling a fair die. Let A bethe event rolling an even number and let B be the event rolling a number greater than 1. Which ofthe following events describes the event rolling a 1?89)A)A1BB)AcC)BD)BcAnswer:D90)True or False: P(E)+P(Ec)>190)A)TrueB)FalseAnswer:B91)The complement of 4 heads in the toss of 4 coins is91)A)Three headsB)Exactly one tailC)All tailsD)At least one tailAnswer:D92)A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and theprobability of a loss is 0.1. What is the probability of not winning in a single play of the game.92)A)0.6B)0.33C)0.5D)0.1Answer:AProvide an appropriate response.93)There are 30 chocolates in a box, all identically shaped. There are 11 filled with nuts, 10 filled withcaramel, and 9 are solid chocolate. You randomly select one piece, eat it, and then select a secondpiece. Is this an example of independence? Answer Yes or No.93)A)YesB)NoAnswer:B94)Numbered disks are placed in a box and one disk is selected at random. There are 6 red disksnumbered 1 through 6, and 7 yellow disks numbered 7 through 13. In an experiment a disk isselected, the number and color noted, replaced, and then a second disk is selected. Is this anexample of independence? Answer Yes or No.94)A)YesB)NoAnswer:A17

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95)After completing an inventory of three warehouses, a golf club shaft manufacturer described itsstock of 12, 246 shafts with percentages given in the table. Is the event of selecting a shaftindependent of the warehouse? Answer Yes or No.95)A)YesB)NoAnswer:B96)Two events are __________________ if the occurrence if the occurrence of event E in a probabilityexperiment does not affect the probability of event F in the same experiment.96)A)independentB)mutually exclusiveC)disjointD)dependentAnswer:A97)Two events are ________________ if the occurrence of event E in a probability experiment changesthe probability of event F in the same experiment.97)A)independentB)disjointC)dependentD)mutually exclusiveAnswer:C98)True or False: Mutually exclusive events are always independent.98)A)FalseB)TrueAnswer:ASolve the problem.99)Suppose that events E and F are independent, P(E)=0.2and P(F )=0.7. What is the P(E and F )?99)A)0.14B)0.9C)0.76D)0.014Answer:A100)A single die is rolled twice. Find the probability of getting a6the first time and a2the second time.Express the probability as a simplified fraction.100)A)13B)112C)136D)16Answer:C101)You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck isshuffled, and you draw again. Find the probability of getting a picture card the first time and aclubthe second time. Express the probability as a simplified fraction.101)A)14B)313C)113D)352Answer:D102)If you toss a fair coin8times, what is the probability of getting all heads? Express the probability asa simplified fraction.102)A)1512B)1256C)12D)1128Answer:B18

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103)A human gene carries a certain disease from the mother to the child with a probability rate of48%.That is, there is a48% chance that the child becomes infected with the disease. Suppose a femalecarrier of the gene hasfourchildren. Assume that the infections of thefourchildren areindependent of one another. Find the probability that allfourof the children get the disease fromtheir mother. Round to the nearest thousandth.103)A)0.053B)0.067C)0.947D)0.073Answer:A104)A machine has four components, A, B, C, and D, set up in such a manner that all four parts mustwork for the machine to work properly. Assume the probability of one part working does notdepend on the functionality of any of the other parts. Also assume that the probabilities of theindividual parts working are P(A)=P(B)=0.99, P(C)=0.94, and P(D)=0.93. Find the probabilitythat the machine works properly. Round to the nearest ten-thousandth.104)A)0.9213B)0.8568C)0.8655D)0.1432Answer:B105)Suppose a basketball player is an excellent free throw shooter and makes90% of his free throws(i.e., he has a90% chance of making a single free throw). Assume that free throw shots areindependent of one another. Suppose this player gets to shootthreefree throws. Find theprobability that he misses allthreeconsecutive free throws. Round to the nearest ten-thousandth.105)A)0.001B)0.999C)0.729D)0.271Answer:A106)What is the probability that in three consecutive rolls of two fair dice, a person gets a total of 7,followed by a total of 11, followed by a total of 7? Round to the nearest ten-thousandth.106)A)0.2876B)0.0012C)0.0015D)0.1667Answer:C107)A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selectedfrom the bag, its color noted, then replaced. You then draw a second ball, note its color and thenreplace the ball. What is the probability of selecting 2 red balls? Round to the nearestten-thousandth.107)A)0.2600B)0.0676C)0.0624D)0.5200Answer:B108)A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selectedfrom the bag, its color noted, then replaced. You then draw a second ball, note its color and thenreplace the ball. What is the probability of selecting one white ball and one blue ball? Round to thenearest ten-thousandth.108)A)0.0088B)0.4400C)0.0480D)0.2200Answer:CProvide an appropriate response.109)A human gene carries a certain disease from the mother to the child with a probability rate of30%.That is, there is a30% chance that the child becomes infected with the disease. Suppose a femalecarrier of the gene hasfivechildren. Assume that the infections of thefivechildren are independentof one another. Find the probability that at least one of the children get the disease from theirmother. Round to the nearest thousandth.109)A)0.832B)0.168C)0.072D)0.36Answer:A19

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110)A machine has four components, A, B, C, and D, set up in such a manner that all four parts mustwork for the machine to work properly. Assume the probability of one part working does notdepend on the functionality of any of the other parts. Also assume that the probabilities of theindividual parts working are P(A)=P(B)=0.94, P(C)=0.93, and P(D)=0.96. Find the probabilitythat at least one of the four parts will work. Round to six decimal places.110)A)0.788878B)0.00001C)0.211122D)0.99999Answer:D111)Investing is a game of chance. Suppose there is a39% chance that a risky stock investment will endup in a total loss of your investment. Because the rewards are so high, you decide to invest inthreeindependent risky stocks. Find the probability that at least one of yourthreeinvestments becomes atotal loss. Round to the nearest ten-thousandth when necessary.111)A)0.773B)0.0593C)0.1451D)0.4353Answer:A112)Find the probability that of 25 randomly selected students, at least two share the same birthday.Round to the nearest thousandth.112)A)0.432B)0.569C)0.995D)0.068Answer:B113)Two companies, A and B, package and market a chemical substance and claim 0.15 of the totalweight of the substance is sodium. However, a careful survey of 4,000 packages (half from eachcompany) indicates that the proportion varies around 0.15, with the results shown below. Find thepercentage of all chemical B packages that contain a sodium total weight proportion above 0.150.Proportion of Sodium<0.1000.100-0.1490.150-0.199>0.200A25%10%10%5%Chemcal BrandB5%5%10%30%113)A)40%B)55%C)50%D)80%Answer:D114)Find the probability that of 25 randomly selected students, no two share the same birthday.114)A)0.431B)0.569C)0.068D)0.995Answer:A115)The probability that a region prone to hurricanes will be hit by a hurricane in any single year is110.What is the probability of a hurricane at least once in the next 5 years?115)A)0.00001B)0.99999C)0.40951D)12Answer:C116)Investment in new issues (the stock of newly formed companies) can be both suicidal andrewarding. Suppose that of400newly formed companies in 2010, only14appeared to haveoutstanding prospects. Suppose that you had selected two of these400companies back in 2010.Find the probability that at least one of your companies had outstanding prospects.116)A)0.0688596B)0.9311404C)0.0338596D)0.2782456Answer:A20

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117)You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearestten-thousandth.117)A)0.0313B)0.7500C)0.9688D)0.5000Answer:C118)You are playing roulette at a casino in the United States. The wheel has 18 red slots, 18 black slots,and two green slots. In 4 spins of the wheel what is the probability of at least one red? Round to thenearest ten-thousandth.118)A)0.0625B)0.9048C)0.0953D)0.9375Answer:BFind the indicated probability. If necessary, round to three decimal places.119)Suppose that E and F are two events and that P(E and F)=0.32and P(E)=0.8. What is P(FE)?119)A)1.12B)0.4C)2.5D)0.256Answer:B120)Suppose that E and F are two events and that N(E and F)=290and N(E)=650. What is P(FE)?120)A)0.446B)0.045C)0.309D)2.241Answer:A121)Suppose that E and F are two events and that P(E)=0.2and P(FE)=0.3. What is P(E and F)?121)A)0.06B)0.667C)0.5D)0.006Answer:AFind the indicated probability. Give your answer as a simplified fraction.122)The overnight shipping business has skyrocketed in the last ten years. The single greatest predictorof a company's success has been proven time and again to be customer service. A study wasconducted to study the customer satisfaction levels for one overnight shipping business. In additionto the customer's satisfaction level, the customers were asked how often they used overnightshipping. The results are shown below in the following table. A customer is chosen at random.Given that the customer uses the companytwo to fivetimes per month, what is the probability thatthey expressedhighsatisfaction with the company?Frequency of UseHighSatisfaction levelMediumLowTOTAL<2 per month250140104002-5 per month140555200>5 per month70255100TOTAL46022020700122)A)723B)2635C)710D)15Answer:C21

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123)The managers of a corporation were surveyed to determine the background that leads to asuccessful manager. Each manager was rated as being either a good, fair, or poor manager byhis/her boss. The manager's educational background was also noted. The data appear below.Given that a manager is only a fair manager, what is the probability that this manager has nocollege background?Educational BackgroundManagerRatingH. S. DegreeSome CollegeCollege DegreeMaster's or Ph.D.TotalsGood21241239Fair514491987Poor3481934Totals10198150160123)A)2340B)132C)12D)587Answer:D124)The managers of a corporation were surveyed to determine the background that leads to asuccessful manager. Each manager was rated as being either a good, fair, or poor manager byhis/her boss. The manager's educational background was also noted. The data appear below.Given that a manager is only a fair manager, what is the probability that this manager has acollege degree?Educational BackgroundManagerRatingH. S. DegreeSome CollegeCollege DegreeMaster's or Ph.D.TotalsGood2628339Fair115422987Poor4971434Totals7307746160124)A)77160B)7787C)2180D)1429Answer:D125)The managers of a corporation were surveyed to determine the background that leads to asuccessful manager. Each manager was rated as being either a good, fair, or poor manager byhis/her boss. The manager's educational background was also noted. The data appear below.Given that a manager is a good manager, what is the probability that this manager has somecollege background?Educational BackgroundManagerRatingH. S. DegreeSome CollegeCollege DegreeMaster's or Ph.D.TotalsGood3524739Fair612432687Poor9122234Totals18186955160125)A)813B)539C)132D)518Answer:B22

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126)A study was recently done that emphasized the problem we all face with drinking and driving.Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted werethe number of vehicles involved and whether alcohol played a role in the accident. The numbersare shown below. Given that an accident involved multiple vehicles, what is the probability that itinvolved alcohol?Number of Vehicles InvolvedDid Alcohol Play a Role?123 or moreTotalsYes559619170No3017129230Totals8526748400126)A)1948B)19400C)2380D)2363Answer:D127)A researcher at a large university wanted to investigate if a student's seat preference was related inany way to the gender of the student. The researcher divided the lecture room into three sections(1-front, middle of the room, 2-front, sides of the classroom, and 3-back of the classroom, bothmiddle and sides) and noted where his students sat on a particular day of the class. The researcher'ssummary table is provided below. Suppose a person sitting in the front, middle portion of the classis randomly selected to answer a question. Find the probability the person selected is a female.Area (1)Area (2)Area (3)TotalMales205833Females13101639Total33152472127)A)1113B)1372C)13D)1333Answer:D128)The manager of a used car lot took inventory of the automobiles on his lot and constructed thefollowing table based on the age of his car and its make (foreign or domestic). A car was randomlyselected from the lot. Given that the car selected was a foreign car, what is the probability that itwas older than 2 years?Age of Car (in years)Make0-23-56-10over 10TotalForeign42221422100Domestic45211321100Total87432743200128)A)58113B)2950C)2150D)42113Answer:B23

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129)The manager of a used car lot took inventory of the automobiles on his lot and constructed thefollowing table based on the age of his car and its make (foreign or domestic). A car was randomlyselected from the lot. Given that the car selected was a domestic car, what is the probability that itwas older than 2 years?Age of Car (in years)Make0-23-56-10over 10TotalForeign44221024100Domestic40241224100Total84462248200129)A)35B)2150C)15D)1021Answer:A130)The manager of a used car lot took inventory of the automobiles on his lot and constructed thefollowing table based on the age of his car and its make (foreign or domestic).Age of Car (in years)Make0-23-56-10over 10TotalForeign43201522100Domestic45261118100Total88462640200A car was randomly selected from the lot. Given that the car selected is older than two years old,find the probability that it is not a foreign car.130)A)57112B)57100C)1120D)55112Answer:DFind the indicated probability. Give your answer as a decimal rounded to the nearest thousandth.131)A fast-food restaurant chain with 700 outlets in the United States describes the geographic locationof its restaurants with the accompanying table of percentages. A restaurant is to be chosen atrandom from the 700 to test market a new style of chicken. Given that the restaurant is located inthe eastern United States, what is the probability it is located in a city with a population of at least10,000?RegionNESESWNW<10,0002%6%3%0%Population of City10,000-100,00015%4%12%5%>100,00020%4%6%23%131)A)0.843B)0.43C)0.157D)0.483Answer:A24

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132)After completing an inventory of three warehouses, a golf club shaft manufacturer described itsstock of 12,246 shafts with the percentages given in the table. Suppose a shaft is selected at randomfrom the 12,246 currently in stock, and the warehouse number and type of shaft are observed.Given that the shaft is produced in warehouse 2, find the probability it has an extra stiff shaft.Type of ShaftRegularStiffExtra Stiff119%8%6%Warehouse214%4%13%318%18%0%132)A)0.351B)0.37C)0.419D)0.684Answer:C133)The breakdown of workers in a particular state according to their political affiliation and type ofjob held is shown here. Suppose a worker is selected at random within the state and the worker'spolitical affiliation and type of job are noted. Given the worker is a Democrat, what is theprobability that the worker is in a white collar job.Political AffiliationRepublicanDemocratIndependentWhite collar17%11%14%Type of jobBlue Collar5%15%38%133)A)0.456B)0.423C)0.193D)0.262Answer:B134)A local country club has a membership of 600 and operates facilities that include an 18-holechampionship golf course and 12 tennis courts. Before deciding whether to accept new members,the club president would like to know how many members regularly use each facility. A survey ofthe membership indicates that69% regularly use the golf course,41% regularly use the tenniscourts, and4% use neither of these facilities regularly. Given that a randomly selected member usesthe tennis courts regularly, find the probability that they also use the golf course regularly.134)A)0.341B)0.146C)0.203D)0.127Answer:AProvide an appropriate response.135)The conditional probability of event G, given the knowledge that event H has occurred, would bewritten as.135)A)P(G)B)P(G|H)C)P(H)D)P(H|G)Answer:B136)Computing the probability of the event "drawing a second red ball from a bag of colored balls afterhaving kept the red ball that was drawn first from the bag" is an example of136)A)conditional probability.B)mutual exclusiveness.C)independence of events.D)disjoint events.Answer:A137)True or False: Conditional probabilities leave the sample space the same when consideringsequential events.137)A)FalseB)TrueAnswer:A25

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138)Numbered disks are placed in a box and one disk is selected at random.If there are 6 red disksnumbered 1 through 6, and 4 yellow disks numbered7through10, find the probability of selectinga yellow disk, given that the number selected is less than or equal to3or greater than or equal to8.138)A)310B)34C)12D)35Answer:CProvide an appropriate response. Express your answer as a simplified fraction unless otherwise noted.139)There are39chocolates in a box, all identically shaped. There16are filled with nuts,13withcaramel, and10are solid chocolate. You randomly select one piece, eat it, and then select a secondpiece. Find the probability of selecting 2 solid chocolates in a row.139)A)1001521B)15247C)10169D)5741Answer:B140)There are39chocolates in a box, all identically shaped. There15are filled with nuts,10withcaramel, and14are solid chocolate. You randomly select one piece, eat it, and then select a secondpiece. Find the probability of selecting 2 nut candies.140)A)7741B)70507C)25169D)35247Answer:D141)There are40chocolates in a box, all identically shaped. There15are filled with nuts,16withcaramel, and9are solid chocolate. You randomly select one piece, eat it, and then select a secondpiece. Find the probability of selecting a solid chocolate candy followed by a nut candy.141)A)3520B)63800C)9104D)27320Answer:C142)Consider a political discussion group consisting of8Democrats,4Republicans, and7Independents. Suppose that two group members are randomly selected, in succession, to attend apolitical convention. Find the probability of selecting an Independent and then a Democrat.142)A)56361B)28171C)7342D)4171Answer:B143)Consider a political discussion group consisting of3Democrats,4Republicans, and8Independents. Suppose that two group members are randomly selected, in succession, to attend apolitical convention. Find the probability of selecting an Independent and then a Republican.143)A)4105B)32225C)170D)16105Answer:D144)An ice chest contains7cans of apple juice,5cans of grape juice,9cans of orange juice, and2cansof pineapple juice. Suppose that you reach into the container and randomly select three cans insuccession. Find the probability of selecting no grape juice.144)A)101771B)8161771C)9721771D)489612167Answer:B26

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145)Numbered disks are placed in a box and one disk is selected at random.If there are6red disksnumbered 1 through6, and2yellow disks numbered7through8, find the probability of selectinga disk numbered 3, given that a red disk is selected.145)A)18B)16C)14D)34Answer:B146)Numbered disks are placed in a box and one disk is selected at random.If there are6red disksnumbered 1 through6, and2yellow disks numbered7through8, find the probability of selectinga red disk, given that an odd-numbered disk is selected.146)A)34B)18C)38D)14Answer:A147)A group of students were asked if they carry a n ATM card The responses are listed in the table. If astudent is selected at random, find the probability that he or she owns an ATM card given that thestudent is a freshman. Round your answer to three decimal places. Round your answer to thenearest thousandth.ClassATM CardCarrierNot an ATM CardCarrierTotalFreshman411960Sophomore162440Total5743100147)A)0.317B)0.410C)0.719D)0.683Answer:D148)Four employees drive to work in the same car. The workers claim they were late to work because ofa flat tire. Their managers ask the workers to identify the tire that went flat; front driver's side, frontpassenger's side, rear driver's side, or rear passenger's side. If the workers didn't really have a flattire and each randomly selects a tire, what is the probability that all four workers select the sametire?148)A)18B)1256C)164D)14Answer:C149)Find the probability that of 25 randomly selected housewives, no two share the same birthday.Round your answer to the nearest thousandth.149)A)0.068B)0.995C)0.569D)0.431Answer:D27

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150)A fast-food restaurant chain with 700 outlets in the United States describes the geographic locationof its restaurants with the accompanying table of percentages. A restaurant is to be chosen atrandom from the 700 to test market a new style of chicken. Given that the restaurant is located inthe eastern United States, what is the probability it is located in a city with a population of at least10,000? Round your answer to the nearest thousandth.RegionNESESWNW<10,0002%6%3%0%Population of City10,000-100,00015%1%12%5%>100,00020%4%4%28%150)A)0.167B)0.4C)0.449D)0.833Answer:D151)After completing an inventory of three warehouses, a golf club shaft manufacturer described itsstock of 12,246 shafts with the percentages given in the table. Suppose a shaft is selected at randomfrom the 12,246 currently in stock, and the warehouse number and type of shaft are observed.Given that the shaft is produced in warehouse 2, find the probability it has an extra stiff shaft.Round your answer to the nearest thousandth.Type of ShaftRegularStiffExtra Stiff119%8%5%Warehouse214%8%15%313%18%0%151)A)0.357B)0.42C)0.75D)0.405Answer:D152)A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selectedfrom the bag and kept. You then draw a second ball and keep it also. What is the probability ofselecting one white ball and one blue ball? Round your answer to four decimal places.152)A)0.0088B)0.0480C)0.0090D)0.0490Answer:D153)A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selectedfrom the bag and kept. You then draw a second ball and keep it also. What is the probability ofselecting two blue balls? Round your answer to four decimal places.153)A)0.0588B)0.0528C)0.0539D)0.0576Answer:C154)Five cards are randomly selected without replacement from a standard deck of 52 playing cards.What is the probability of getting 5 hearts? Round your answer to four decimal places.154)A)0.0004B)0.0010C)0.0012D)0.0005Answer:D28

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155)CampusFest is a student festival where local businesses come on campus to sell their goods tostudents at vastly reduced prices. As part of a give-away promotion, a local cellular phonecompany gave away400cellular phones to students who signed up for their calling service.Unbeknownst to the company is that50of these cellular phones were faulty and will cause a smallexplosion when dialed outside the local calling area. Suppose you and your roommate eachreceived one of the giveaway phones. Find the probability that both of you received faulty phones.Round to five decimal places when necessary.155)A)0.25B)0.01535C)0.01563D)0.10965Answer:B156)A county welfare agency employs26welfare workers who interview prospective food stamprecipients. Periodically, the supervisor selects, at random, the forms completed by two workers toaudit for illegal deductions. Unknown to the supervisor,nineof the workers have regularly beengiving illegal deductions to applicants. Given that the first worker chosen has not been givingillegal deductions, what is the probability that the second worker chosen has been giving illegaldeductions? Round to the nearest thousandth.156)A)0.308B)0.36C)0.346D)0.32Answer:B157)A county welfare agency employs39welfare workers who interview prospective food stamprecipients. Periodically, the supervisor selects, at random, the forms completed by two workers toaudit for illegal deductions. Unknown to the supervisor,nineof the workers have regularly beengiving illegal deductions to applicants. What is the probability both workers chosen have beengiving illegal deductions? Round to the nearest thousandth.157)A)0.053B)0.055C)0.047D)0.049Answer:D158)True or False: If A and B are independent events, then A and B are mutually exclusive also.158)A)FalseB)TrueAnswer:A159)True or False: Two events, A and B, are independent if P(A and B)=P(A)·P(B).159)A)TrueB)FalseAnswer:A160)Assume that P(A)=0.7 and P(B)=0.2. If A and B are independent, find P(A and B).160)A)0.76B)0.14C)1.00D)0.90Answer:B161)If P(A)=0.45, P(B)=0.25, and P(B|A)=0.45, are A and B independent?161)A)cannot determineB)noC)yesAnswer:B162)If P(A)=0.72, P(B)=0.11, and A and B are independent, find P(A|B).162)A)0.11B)0.83C)0.72D)0.0792Answer:C163)Assume that P(E)=0.15 and P(F)=0.48. If E and F are independent, find P(E and F).163)A)0.072B)0.630C)0.558D)0.15Answer:A29

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164)If two events A and B are __________, then P(A and B)=P(A) P(B).164)A)independentB)mutually exclusiveC)complementsD)simple eventsAnswer:A165)True or False: For two events A and B, suppose P(A)=0.35, P(B)=0.65, and P(B|A)=0.35. Then Aand B are independent.165)A)FalseB)TrueAnswer:A166)True or False: For two events A and B, suppose P(A)=0.1, P(B)=0.8, and P(A|B)=0.1. Then Aand B are independent.166)A)TrueB)FalseAnswer:A167)Given that events A and B are mutually exclusive and P(A)=0.5 and P(B)=0.7, are A and Bindependent?167)A)cannot be determinedB)noC)yesAnswer:B168)Given that events C and D are independent, P(C)=0.3, and P(D)=0.6, areC and D mutuallyexclusive?168)A)cannot be determinedB)noC)yesAnswer:B169)Given events A and B with probabilities P(A)=0.5, P(B)=0.4, and P(Aand B)=0.2, are A and Bindependent?169)A)cannot be determinedB)noC)yesAnswer:C170)Given events C and D with probabilities P(C)=0.3, P(D)=0.2, and P(Cand D)=0.1, are C and Dindependent?170)A)yesB)cannot be determinedC)noAnswer:C171)Given events A and B with probabilities P(A)=0.75 and P(B)=0.15,are A and B mutuallyexclusive?171)A)cannot be determinedB)yesC)noAnswer:AEvaluate the factorial expression.172)8!6!172)A)56B)86C)8D)2!Answer:A30

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