Assume that women's heights are normally distributed with a mean given by mu equals 61.4 in, and a standard deviation given by sigma equals 3.7 in. a) if a woman is randomly selected, find the probability that her height is less than 65 inches. b) if 34 women are randomly selected, find the probability that they have a mean height less than 65 inches. i think i know how to do this one but i want to be certain so show your work so i can learn from you.