the heights of women are normally distributed with a mean of 68.3 inches and standard deviation of 2.5 inches.

a) what is the probability that a randomly selected woman will have a height greater than 65 inches

b) suppose we sample 16 women. What is the probability that the sample mean of the group of 16 women has a height greater than 65 inches ?

c) at least what height mush a woman be if they are in the tallest 10 %