1) Assume that women’s heights are normally distributed with a mean given by mu equals 64.3 in, and a standard deviation given by sigma equals 3.2 in.

(a) If 1 woman is randomly selected, find the probability that her height is less than 65 in.

(b) If 47 women are randomly selected, find the probability that they have a mean height less than 65 in.

(a) The probability is approximately

nothing.

(Round to four decimal places as needed.)

(b) The probability is approximately

nothing.

(Round to four decimal places as needed.)

2) The capacity of an elevator is