In this exercise find the indicated probabilities. If convenient , use technology to find the probabilities.

In a survey of U.S. women, the heights in the 20-29 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, and (d) identify any unusual events. Explain your reasoning.

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