Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 262 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(,) b. Find the probability that a randomly hit fly ball travels less than 270 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

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 262 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(,)

b. Find the probability that a randomly hit fly ball travels less than 270 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

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