If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. O Part (b) What is the probability that the 49 balls traveled an average of less than 252 feet? (Round your answer to four decimal places.)

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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 40 feet. We randomly sample 49 fly balls.
O Part (a)
If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places.
O Part (b)
What is the probability that the 49 balls traveled an average of less than 252 feet? (Round your answer to four decimal places.)
Transcribed Image Text: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 40 feet. We randomly sample 49 fly balls. O Part (a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. O Part (b) What is the probability that the 49 balls traveled an average of less than 252 feet? (Round your answer to four decimal places.)
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