In response to the increasing weights of passengers, in 2003 the Federal Aviation Administration told airlines to assume that passengers weigh an average of 195 pounds in the winter including clothing and carry-on baggage. Passenger size varies and the FAA did not provide a standard deviation, but a reasonable standard deviation used by airlines is 35 pounds. a) Suppose that a small commuter plane carries 22 passengers. What would be the standard deviation of the sampling distribution generated from sample sizes of 22?Show your work. b) What is the approximate probability that the total weight of 22 passengers on a particular flight is 4500 pounds? Show your work.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In response to the increasing weights of passengers, in 2003 the Federal Aviation Administration told airlines to assume that passengers weigh an average of 195 pounds in the winter including clothing and carry-on baggage. Passenger size varies and the FAA did not provide a standard deviation, but a reasonable standard deviation used by airlines is 35 pounds.

a) Suppose that a small commuter plane carries 22 passengers. What would be the standard deviation of the sampling distribution generated from sample sizes of 22?Show your work.

b) What is the approximate probability that the total weight of 22 passengers on a particular flight is 4500 pounds? Show your work.

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