airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending e probability is ound to four decimal places as needed.) If half of the 350 passengers are men, find the probability that the mean height of the 175 men is less than 74 in. he probability is Round to four decimal places as needed.) When considering the comfort and safety of passengers, which result is more relevant the probability from part (a) or the probability from part (b)? Why? DA. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height DB. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. DC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. DD. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.

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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airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).
If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending
e probability is
ound to four decimal places as needed.)
If half of the 350 passengers are men, find the probability that the mean height of the 175 men is less than 74 in.
he probability is
Round to four decimal places as needed.)
When considering the comfort and safety of passengers, which result is more relevant the probability from part (a) or the probability from part (b)? Why?
DA. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height
DB. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
DC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height.
DD. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
Transcribed Image Text:airliner carries 350 passengers and has doors with a height of 74 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d). If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending e probability is ound to four decimal places as needed.) If half of the 350 passengers are men, find the probability that the mean height of the 175 men is less than 74 in. he probability is Round to four decimal places as needed.) When considering the comfort and safety of passengers, which result is more relevant the probability from part (a) or the probability from part (b)? Why? DA. The probability from part (b) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height DB. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. DC. The probability from part (a) is more relevant because it shows the proportion of flights where the mean height of the male passengers will be less than the door height. DD. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
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