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.

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