6) A Boeing airliner carries 200 passengers and has doors with heights of 72 inches. Heights of men are normally distributed with a mean 69 in and a standard deviation of 2.8 inches. 6a) If a male passenger is randomely selected, find the probability that he can fit through the door without bending. 6b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72. 7c) Which are more relevant, results from parts a or b from question 3? Why? 7d) Why might women be ignored in this study?

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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6) A Boeing airliner carries 200 passengers and has doors with heights of 72 inches. Heights of men are normally distributed with a mean 69 in and a standard deviation of 2.8 inches.

6a) If a male passenger is randomely selected, find the probability that he can fit through the door without bending.

6b) If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72.

7c) Which are more relevant, results from parts a or b from question 3? Why?

7d) Why might women be ignored in this study?

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