Assume that a women's heights are normally distributed with a mean given by u= 63.2, and a standard deviation given by a=3.1 in.
a. If 1 woman is randomly selected, find the probability that her height is less than 64 in.
The probability is approx___ (Round to four decimals)
b. If 48 women are randomly selected find the probability that they have a mean height less than 64 in.
The probabilty is approx___ (Round to four decimals)