Recall that the Empirical Rule in stated that for bell-shaped distributions, about 68% of the values fall within one standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 65 inches and standard deviation of 2.5 inches. Use this information to answer the following questions:
a. What is the probability that a randomly selected woman from this university is 67.5 inches or taller?
b. What is the probability that two randomly selected women from this university are both 62.5 inches or shorter?
c. What is the probability that of two randomly selected women, one is 62.5 inches or shorter and the other is 62.5 inches or taller?
d. What is the probability that two randomly selected women are both 65 inches or taller?