In a survey of U.S. women, the heights in the 20 29 age group were normally distributed,

Question:

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,
(c) More than 70.5 inches,
(d) Identify any unusual events.
Explain your reasoning.