If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 inches.

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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1. The Boeing 727 airliner carries 200 passengers and has doors with a height of 72
inches. Heights of men are normally distributed with a mean of 69.5 inches and a
standard deviation of 2.4 inches.
a) If a male passenger is randomly selected, find the probability that he can fit
through the doorway without bending.
b) If half of the 200 passengers are men, find the probability that the mean height of
the 100 men is less than 72 inches.

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