Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 267 feet and a standard deviation of 38 feet. Let X be the distance in feet for a fly ball.

a. What is the distribution of X? X ~ N( , )

b. Find the probability that a randomly hit fly ball travels less than 313 feet. Round to 4 decimal places.Answer=

c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. Answer= feet