According to the National Health Center, the heights of 6-year-old girls are normally distributed with a mean of 45 inches and standard deviation of 2 inches.

a. In which percentile is a 6-year-old girl who is 46.5 inches tall?

b. If a 6-year-old girl who is 46.5 inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as N (64, 2.5).