Assume that women's heights are normally distributed with a mean given by h = 62.3 in, and a standard deviation given by 0 = 3.1 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in.
(b) If 49 women are randomly selected, find the probability that they have a mean height less than 63 in.
(a) The probability is approximately
(Round to four decimal places as needed.)