Assuming that the height of college women are normally distr

Assuming that the height of college women are normally distributed with the mean of 67 inches and standard deviation 2.5 inches, what percentage of women are between 64.5 inches and 67 inches? A) 81.9% B) 49.9% C) 2.1% D) 34.1%

Solution

mean = m = 67 inches

standard deviation = sd =2.5 inches

z= (x-m)/sd

P(64.5<x<67) = P(-1<z<0)

P(64.5<x<67) = P(z<0) - P(z<-1)

P(64.5<x<67) = 0.5 - 0.1587

P(64.5<x<67) = 0.3413

option D is your answer