Assume that foot lengths of women are normally distributed with a mean of 9.6 in. and a standard deviation of 0.5 in., based on data from the U.S. Army Anthropometry Survey (ANSUR).
a. Find the probability that a randomly selected woman has a foot length less than 10.0 in.
b. Find the probability that a randomly selected woman has a foot length between 8.0 in. and 11.0 in.
c. Find P95.
d. Find the probability that 25 women have foot lengths with a mean greater than 9.8 in.