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StatisticsQ&A LibrarySuppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 41 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 268 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places.Question

Asked Feb 7, 2020

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 41 feet. Let X be the distance in feet for a fly ball.

b. Find the probability that a randomly hit fly ball travels less than 268 feet. Round to 4 decimal places.

c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places.

Step 1

Consider *X* be a random variable which follows normal distribution indicates distance in feet for a fly ball. The mean is 260 feet with a standard deviation of 41 feet.

b. The probability that a randomly hit fly ball travels less than 268 feet is,

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