An airliner carries 350 passengers and has doors with a height of 75 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 350 passengers are men, find the probability that the mean height of the 175 men is less than 75 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 (b) is more relevant because it shows the proportion of male passengers that will not need to bend. OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OC. 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 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? 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 B. 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 OC. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. bend.
An airliner carries 350 passengers and has doors with a height of 75 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 350 passengers are men, find the probability that the mean height of the 175 men is less than 75 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 (b) is more relevant because it shows the proportion of male passengers that will not need to bend. OB. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OC. 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 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? 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 B. 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 OC. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. bend.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:An airliner carries 350 passengers and has doors with a height of 75 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 350 passengers are men, find the probability that the mean height of the 175 men is less than 75 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 (b) is more relevant because it shows the proportion of male passengers that will not need to bend.
O B. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend.
O 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 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?
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 B. 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.
O C. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women.
21
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Given information:
VIEWStep 2: Calculation for part(a):
VIEWStep 3: Calculation for part(b):
VIEWStep 4: Explanation for part(c):
VIEWStep 5: Explanation for incorrect options of part(c):
VIEWStep 6: Explanation for part(d):
VIEWStep 7: Explanation for incorrect options in part(d):
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 8 steps with 13 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman