Question

  

Assume that women's heights are normally distributed with a mean given by 

mu equals 64.2 inμ=64.2 in, 

and a standard deviation given by 

sigma equals 2.6 inσ=2.6 in.

(a) If 1 woman is randomly selected, find the probability that her height is less than 

65 in.

(b) If 35w omen are randomly selected, find the probability that they have a mean height less than 

65 in.