The empirical rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 68 inches and standard deviation of 2 inches. Use this information to an$wer the questions.

a.

What is the probability that a randomly selected woman from this university is 70 inches or taller? Give answer to two decimal places.

b.

what is the probability that two randomly selected women from this university are both 70 inches or shorter? Give answer to four decimal places.

c.

what is the probability that of two randomly selected women, one is 70 inches or shorter and the other is 70 inches or taller? Give answer to four decimal places.

d.

what is the probability that two randomly selected women are both 68 inches or taller? give answer to two decimal places.