his Question: 1 pt 20 of 20 This Test: 20 pts pos Question Help An airliner carr
ID: 3355429 • Letter: H
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his Question: 1 pt 20 of 20 This Test: 20 pts pos Question Help An airliner carries 100 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation o 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 io 0.9938 Round to four decimal places as needed.) b. If half of the 100 passengers are men, find the probability that the mean height of the 50 men is less than 76 in. The probability is 5987 Round to four decimal places as needed.) e. When considering the comfort and safety of passengers, which result is more relevant the probability from part (a) or the probability from part (o )? Why? A. The probability from part (a)s more relevant because it shows the proportion of male passengers that will not need to bend O B. The probability from part (b) is more relevant because it shows the proportion of male passengers that will not need to bend. C The probability f om part a) is more relevant because it shows the proportion oenigres where the mean height of the male passengers wil be less than the door height. lity from part (b) is more relevant because it shows the proportion of flighte where the mean height of the male passengers will be less han the door height. conaidering the coor and safety of passengens, why are women jgnored in this case?Explanation / Answer
a) mean = 69 , sd = 2.8
a) P(X < 76)
= P(Z< ( 76 - 69)/2.8)
= P(Z< 2.5)
= 0.9938
b)
sd(Xbar) = 2.8/sqrt(50 ) = 0.28
P( Xbar < 76)
=
P (Z<17.68)=1
c)
option A) is correct
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