Its number 20. S AND SAMPLING DISTRIBUTIONS15.Airline Flights: No-Shows Based on long experience, an airline has foundthat about 6% of the people making reservations on a flight from Miami toDenver do not show up for the flight. Suppose the airline overbooks this flightby selling 267 ticket reservations for an airplane with only 255 seats.(a) What is the probability that a person holding a reservation will show upfor the flight?X-(b) Let n =267 represent the number of ticket reservations. Let r representthe number of people with reservations who show up for the flight. Whichexpression represents the probability that a seat will be available foreveryone who shows up holding a reservation?P(255 < r); P(r < 255); P(r < 267); P(r = 255)(c) Use the normal approximation to the binomial distribution and part (b) toanswer the following question: What is the probability that a seat will beavailable for every person who shows up holding a reservation?16.General: Approximations We have studied two approximations to thebinomial, the normal approximation and the Poisson approximation(See Section 5.4). Write a brief but complete essay in whichand summarize the conditions under which each approximation would beused, the formulas involved, and the assumptions made for each approxima-tion. Give details and examples in your essay. How could you apply thesestatistical methods in your everyday life?on,youdiscuss17.Statistical Literacy Under what conditions is it appropriate to use a normaldistribution to approximate the p distribution?18.| Statistical Literacy What is the formula for the standard error of the normalapproximation to the p distribution? What is the mean of the p distribution?19.| Statistical Literacy Is p an unbiased estimator for p when np > 5 andng > 5? Recall that a statistic is an unbiased estimator of the correspondingparameter if the mean of the sampling distribution equals the parameterin question.te20.| Basic Computation: p Distribution Suppose we have a binomial experi-ment in which success is defined to be a particular quality or attribute thatinterests us.33 and p = 0.21. Can we approximate the p distribution by(a) Suppose n =a normal distribution? Why? What are the values of u, and o;?(b) Suppose n =tion by a normal distribution? Why or why not?(c) Suppose n = 48 and p = 0.15. Can we approximate the p distribution bya normal distribution? Why? What are the values of u; and o;?25 and p0.15. Can we safely approximate the p distribu-||Basic Computation: p Distribution Suppose we have a binomial experiment inwhich success is defined to be a particular quality or attribute that interests us.(a) Suppose n = 100 and pbution by a normal distribution? Why? Compute(b) Suppose n =tion by a normal distribution? Why or why not?21.0.23. Can we safely approximate the p distri-andOp.20 and p = 0.23. Can we safely approximate the p distribu-PART II SUMMARYIn this part, we studied sampling distributions. We also looked at the normalapproximation to the binomial distribution. The Chapter Review has a summary ofthe specific topics of this part, as well as Important Words and Symbols.Part II Chapter Review Problems: 4, 7, 8, 9, 10, 15, 17, 21, 22, 23, 24, 25, 26.ngage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. WCN 02-200-208

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Description: Its number 20. S AND SAMPLING DISTRIBUTIONS15.Airline Flights: No-Shows Based on long experience, an airline has foundthat about 6% of the people making reservations on a flight from Miami toDenver do not show up for the flight. Suppose the airline o

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Math

Statistics

Basic Computation: p Distribution Suppose we have a binomial experi- ment in which success is defined to be a particular quality or attribute that interests us. 33 and p = 0.21. Can we approximate the p distribution by (a) Suppose n = a normal distribution? Why? What are the values of µ, and o;? (b) Suppose n = 25 and p = 0.15. Can we safely approximate the p distribu- tion by a normal distribution? Why or why not? (c) Suppose n = 48 and p = 0.15. Can we approximate the p distribution by a normal distribution? Why? What are the values of µ; and o;?

Basic Computation: p Distribution Suppose we have a binomial experi- ment in which success is defined to be a particular quality or attribute that interests us. 33 and p = 0.21. Can we approximate the p distribution by (a) Suppose n = a normal distribution? Why? What are the values of µ, and o;? (b) Suppose n = 25 and p = 0.15. Can we safely approximate the p distribu- tion by a normal distribution? Why or why not? (c) Suppose n = 48 and p = 0.15. Can we approximate the p distribution by a normal distribution? Why? What are the values of µ; and o;?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 8ECP: In Example 8, what is the probability that an employee chosen at random has 30 or more years of...

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