CramX Logo
STAT 200 Quiz #2 Solution Correct Answers - Document preview page 1

STAT 200 Quiz #2 Solution Correct Answers - Page 1

Document preview content for STAT 200 Quiz #2 Solution Correct Answers

STAT 200 Quiz #2 Solution Correct Answers

Quiz 2 answers for a statistics course.

Lily Green
Contributor
4.8
0
12 months ago
Preview (4 of 12 Pages)
100%
Log in to unlock
Page 1 of 4
STAT 200 Quiz #2 Solution Correct Answers - Page 1 preview imageSTAT 200Quiz #2Solution Correct AnswersPlease answer all 6 big questions.The maximum score for each questionis posted at the beginning of the question, and the maximum score for thequiz is 100 points.Make sure your answers are as complete aspossibleand show your work/argument.In particular, when there are calculationsinvolved, you should show how you come up with your answers withnecessary tables, if applicable.Answers that come straight from programsoftware packages will not be accepted.The quiz is due by midnight,coming Sunday.IMPORTANT:You are requested to include a brief note atthe beginning of your submitted quiz, confirming that yourwork is your own.The note should say, "I have completedthis assignment myself, working independently and notconsulting anyone."Your submitted quiz will be acceptedonly ifyou have included this statement.1. John madean experiment by tossing three fair coins. (Fair coin has the sameprobability for a tail and head ½).(a) (5 points) List the sample space for this experiment. (All possible outcomes)(b)(3 point) What is a probability of three tails?(c) (3 points) What is a probability of exactly two tails?
Page 2 of 4
STAT 200 Quiz #2 Solution Correct Answers - Page 2 preview image
Page 3 of 4
STAT 200 Quiz #2 Solution Correct Answers - Page 3 preview image(d) (4 points) What is a probability of at least one tail?2.Among UMUC students 70% own a car, 50% own a bike and 40% ownboth.(a) (7 points) Draw a Venn diagram.(b) (5 points) Find a probability that a randomly chosen student own a least oneof the above vehicles.(c) (5 points) What is a probability that a randomly chosen studentdoes notown a bike?3. A division has 12 employees, 8 males and 4 females.(a) (5 points) In how many ways can a committee of 6 members can be selectedfrom out of these 12?(b) (5 points) Find the probability that a random committee contains all males?(c) (5 points)Suppose that the committee should have one Presidentwhich has to be a female and two ordinary members who must be males.How many different committees are possible?4. X is normally distributed with mean 12 and standard deviation 4.
Page 4 of 4
STAT 200 Quiz #2 Solution Correct Answers - Page 4 preview image(a) (5 points)Find the probability that X will be more than 10.(b) (5 points) Find the probability that X will be less than 13.5(c) (6 points) Find the probability that X will be between 10 and 14.5(d) (7 points) Findasuch that P(X<a)=.85(e)(7 points) Findbsuch that P(X>b)=.255.(7 points)Which of the following is not a binomial distribution and why?Justify your answer.1. Tossing a fair quarter 10 times and looking at number of heads that showsup.2. Rolling a fair die 10 times and looking at the number of times we get six dotsshowing up.3. Rolling a fair die 10 times and keeping track of the numbers that are rolled.4. Rolling 10 fair dice and looking at the number of dice that have 4 dots facingup.6.Among companies doing highway or bridge construction, 80% testemployees for substance abuse (based on data from the Construction FinancialManagement Association) A study involves the random selection of 12 suchcompanies.(a) (3 points) Find the probability that exactly 7 of the 12 companies test forsubstance abuse.
Preview Mode

This document has 12 pages. Sign in to access the full document!