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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 35 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 312 feet. Round to 4 decimal places. _________________
c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. _________________ feet
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