Suppose that passengers on flights average 185 pounds and that those weights have a standard deviation of 50 pounds. Consider a simple random sample of 162 passengers (the capacity of a Boeing 737 with a two-class configuration). a. Find the probability that the average weight of the 162 passengers is under 190. b. Consider part a but for a simple random sample of 5 such passengers. Under what condition could you use the same method to compute that probability? Dio you think this condition is satisfied? Explain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that passengers on flights average 185 pounds and that those weights have a standard deviation of 50 pounds. Consider a simple random sample of 162 passengers (the capacity of a Boeing 737 with a two-class configuration).

a. Find the probability that the average weight of the 162 passengers is under 190.

b. Consider part a but for a simple random sample of 5 such passengers. Under what condition could you use the same method to compute that probability? Dio you think this condition is satisfied? Explain.

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