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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 267 feet and a standard deviation of 42 feet. Let X be the distance in feet for a fly ball.a. What is the distribution of X? X ~ Nb. Find the probability that a randomly hit fly ball travels less than 279 feet. Round to 4 decimal placesc. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places.Question

Asked Feb 9, 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 267 feet and a standard deviation of 42 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 279 feet. Round to 4 decimal places

c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places.

Step 1

a)

From the given information, the distribution of the distance of fly balls hit to the outfield follows normal distribution with mean of 267 and standard deviation of 42.

Step 2

Therefore, the distribution of X follows N (267, 42).

b)

The probability that a randomly hit fly ball travels less than 279 feet is obtained as follows:

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