a. What is the distribution of X? X ~ N( b. Find the probability that a randomly hit fly ball travels less than 314 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

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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(
b. Find the probability that a randomly hit fly ball travels less than 314 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
Transcribed Image Text: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( b. Find the probability that a randomly hit fly ball travels less than 314 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
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