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An airliner carries 150 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 150 passengers are men, find the probability that the mean height of the 75 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? O A. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. 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. C. 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. O D. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? O A. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. O C. 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 bend. O B. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. Next Time Remaining: 02:20:13

An airliner carries 150 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 150 passengers are men, find the probability that the mean height of the 75 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? O A. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. 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. C. 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. O D. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? O A. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. O C. 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 bend. O B. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. Next Time Remaining: 02:20:13

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An airliner carries 150 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 150 passengers are men, find the probability that the mean height of the 75 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 (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. 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. C. 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. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? A. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. B. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. C. 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 hav bend. Time Remaining: 02:20:13 Next MacBook DII DD F11 F10 F9 F8 88 ראכ 000 F7 20 F6 F5 F4 F3 F2 esc F1 & @ # 7 4 5 6 3 P
Transcribed Image Text:An airliner carries 150 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 150 passengers are men, find the probability that the mean height of the 75 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 (a) is more relevant because it shows the proportion of male passengers that will not need to bend. B. 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. C. 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. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? A. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. B. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. C. 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 hav bend. Time Remaining: 02:20:13 Next MacBook DII DD F11 F10 F9 F8 88 ראכ 000 F7 20 F6 F5 F4 F3 F2 esc F1 & @ # 7 4 5 6 3 P
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