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.
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.
Chapter8: Sequences, Series,and Probability
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![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.
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Score: --
Score: --](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F559c9efa-ff9a-473e-b6b2-816aed31a370%2F0771b70b-a0e6-4f68-86a2-1da17767c9c4%2F6dk0gg_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F559c9efa-ff9a-473e-b6b2-816aed31a370%2F0771b70b-a0e6-4f68-86a2-1da17767c9c4%2Fbyxlt_processed.jpeg&w=3840&q=75)
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
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