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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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