on 16 Some airlines have requirements that members of the flight crew must have

Question

on 16 Some airlines have requirements that members of the flight crew must have heights between 62 in and 73 in. Suppose the heights of men are normally distributed with mean 69.5 in and 2.4 in. You want to find the percentage of men who satisfy this requirement.

a. The z score associated with 62 inches is _________

b. The z score associated with 73 inches is _________

c The percent of men between 62 inches and 73 inches is about _______ (Write your answer as a percent. Round to the nearest percent)

Explanation / Answer

as we know that z score =(X-mean)/std deviation

a)z score associated with 62 inches is =(62-69.5)/2.4 =-3.125

b)z score associated with 73 inches is =(73-69.5)/2.4=1.4583

c) hence probabilty of men between 62 inches and 73 inches=P(62<X<73)=P(-3.125<Z<1.4583)=0.9276-0.0009=0.9267

percent of men between 62 inches and 73 inches is about 92.67 % ~93%

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