Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 256 feet and a standard deviation of 38 feet. Let X be the distance in feet for a fly...

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 256 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 213 feet. Round to 4 decimal places.


c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet