In: Statistics and Probability
Assume that women's heights are normally distributed with a mean given by mu=64.4 in , and a standard deviation given by sigma=1.8 in . Complete parts a and b.
a. If 1 woman is randomly selected, find the probability that her height is between 64.2 in and 65.2 in. The probability is approximately ? . (Round to four decimal places as needed.)
b. If 14 women are randomly selected, find the probability that they have a mean height between 64.2 in and 65.2 in. The probability is approximately ? . (Round to four decimal places as needed.)