Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 257 feet and a standard deviation of 45 feet. Let X be the distance in feet for a fly ball.

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

b. Find the probability that a randomly hit fly ball travels less than 284 feet. Round to 4 decimal places.

c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

Hint: