An airliner carries 200 passengers and has doors with a height of 78 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). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is____ (Round to four decimal places as needed.) b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 78 in. The probability is____ (Round to four decimal places as needed.) c. 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? A. 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. B. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. C. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
An airliner carries 200 passengers and has doors with a height of 78 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). a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. The probability is____ (Round to four decimal places as needed.) b. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 78 in. The probability is____ (Round to four decimal places as needed.) c. 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? A. 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. B. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. C. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
An airliner carries
normally distributed with a mean of
200
passengers and has doors with a height of
78
in. Heights of men are 69.0
in and a standard deviation of
2.8
in. Complete parts (a) through (d).a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.
The probability is____
(Round to four decimal places as needed.)
b. If half of the
200
passengers are men, find the probability that the mean height of the
100
men is less than
78
in.The probability is____
(Round to four decimal places as needed.)
c. 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?
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.
The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
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.
d. When considering the comfort and safety of passengers, why are women ignored in this case?
Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.
There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women.
Since men are generally taller than women, it is more difficult for them to bend when entering the aircraft. Therefore, it is more important that men not have to bend than it is important that women not have to bend.
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