Assume that​ women's heights are normally distributed with a mean given by mu equals 63.2 in​, and a standard deviation given by sigma equals 2.1 in. complete parts a and
b.
a. if 1 woman is randomly​ selected, find the probability that her height is between 62.4 in and 63.4 in. the probability is approximately . 1863. ​(round to four decimal places as​ needed.)
b. if 7 women are randomly​ selected, find the probability that they have a mean height between 62.4 in and 63.4 in