Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 36 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 270 feet and a standard deviation of 36 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 276 feet. Round to 4 decimal places.


c. Find the 85th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet