Assume that​ women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly​ selected, find the probability that they have a mean...

Assume that​ women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly​ selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches. Round your answer to four decimal places.