An airliner carries 200 passengers and has doors with a height Heights of men are normally distributed wit 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.) h If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 74 in.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
icon
Related questions
Question
Week 7 help please
An airliner carries 200 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).
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 74 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?
OA. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not
need to bend.
OB. The prob 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.
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.
OD. 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?
chronous Online, Intro to Stats) is based on Triola: Elementary Statistics, 14e
2023 Pearson Education Inc. All Rights Reserved.
m
I
Ske
Next
S
Scor
Score:-
Score: --
Score: --
Transcribed Image Text:An airliner carries 200 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). 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 74 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? OA. The probability from part (a) is more relevant because it shows the proportion of male passengers that will not need to bend. OB. The prob 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. 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. OD. 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? chronous Online, Intro to Stats) is based on Triola: Elementary Statistics, 14e 2023 Pearson Education Inc. All Rights Reserved. m I Ske Next S Scor Score:- Score: -- Score: --
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 h
of the male passengers will be less than the door height.
OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will r
need to bend.
d. When considering the comfort and safety of passengers, why are women ignored in this case?
OA. Since men are generally taller than women, a design that accommodates a suitable proportion of men will
necessarily accommodate a greater proportion of women.
OB.
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.
OC. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case
of women.
Onous Online, Intro to Stats) is based on Triola: Elementary Statistics, 14e
3 Pearson Education Inc. All Rights Reserved.
Ske
Next
Sc
Transcribed Image Text: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 h of the male passengers will be less than the door height. OD. The probability from part (b) is more relevant because it shows the proportion of male passengers that will r need to bend. d. When considering the comfort and safety of passengers, why are women ignored in this case? OA. Since men are generally taller than women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women. OB. 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. OC. There is no adequate reason to ignore women. A separate statistical analysis should be carried out for the case of women. Onous Online, Intro to Stats) is based on Triola: Elementary Statistics, 14e 3 Pearson Education Inc. All Rights Reserved. Ske Next Sc
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt