Finding probabilities for normal distributions in exercise 8, find the indicated probabilities. If convenient, use technology to find the probabilities.

8.Height of Women, In a survey of U.S. women, the heights in the 20- to 29-year age group were normally distributed, with a mean of 64.2 inches and a standard deviation of 2.9 inches. Find the probability that a randomly selected study participant has a height that is (a) less than 56.5 inches, (b) between 61 and 67 inches, and (c) more than 70.5 inches. Identify any unusual events in parts (a)-(c). Explain the reasoning. (Adapted from National Center for Health Statistics)