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 44 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 254 feet. Round to 4 decimal places. c. Find the 85th percentile for the distribution of distance of fly balls. Round to 2 decimal places.

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A: X follows a Normal distribution with mean = 257 and S.D = 44 Then z=(x-mean)/SD = (x-257)/44…

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