Statistics and Probability: Application of Concepts in Real-World Scenarios

An assignment on applying statistics and probability in real-life cases.

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Statistics and Probability: Application of Concepts in Real-World ScenariosPart 1 Multiple Choice:The Gallup Poll interviewed 1423 randomly selected American citizens and reported that whenasked which type of content bothers them most on TV,44% identified ‘violence’. Answer thenext two questions with this information.1.Identify the population.a.1423b.American citizensc.Gallup polld.44%2.The 44% that identified ‘violence’ as whatbothered them the most from the sample of 1423randomly selected American citizens is calleda.a parameterb.a statisticc.Simpson’s paradoxd.None of these above3.Fill in the blank: The ________ of a variable tells us what values it takes and how often ittakes these values.a.probabilityb.distributionc.populationd.variable4.85% of the phone callstoRegional Airwaysis for reservations.Suppose there were 100calls to Regional Airways.Describe the distribution of the number of callsthat were forreservations out of the 100.a.Normal distribution with mean = 100, standard deviation = 85.b.Binomial distribution with n = 100, p = 0.85.c.Binomial distribution with mean = 100, standard deviation = 85.d.Uniform distribution with n = 100, p = 0.85.The city gas mileage for 2001 vehicles has a mean μ = 21.2 miles per gallon and standarddeviationσ= 5.4 MPG. LetXbe the city MPG of 2014model year vehicles. Assume the gasmileage has an approximate Normal distribution. Answer the next two questions.5.Find the probability that a vehicle chosen at random has a city MPG of 32 or higher.a.0.02b.0.9772c.0.0228d.0.1086.Suppose that a simple random sample of 36 vehicles were selected. What is the probabilitythat the sample mean MPG,x, of these 36 vehicles is greater than 23 MPG?

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a.0.01b.0.8413c.0.9772d.0.0228The table below shows quality ratings and the mean price from a sample of 300 restaurantslocated in the Los Angeles area. Use this information to answer the next three questions.Meal PriceQuality Rating$1019$2029$3039$4049TotalGood42402084Very Good3464466150Excellent214282266Total7811876283007.What is thepercentof“Good”Quality Rating?a.28%b.26%c.53.8%d.0%8.What percent of the restaurants have a “Good” rating and has a meal price between $3039?a.2.4%b.3%c.0.67%d.28%9.What percent of the restaurants have an “Excellent” rating, given that the meal price is $4049?a.7.3%b.78.6%c.33.3%d.22%Assume that 10% of people are left-handed. We randomly select 20 people at random. Answerthe next two questions10.What is the probability that exactly5out of the20people are left-handed?a.0.25b.0.032c.0d.0.9887511.What is the expected number ofleft-handed people out of the 20randomly selected?a.5b.10c.0.25d.20
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