Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of250feet and a standard deviation of50feet. LetX= distance in feet for a fly ball.

• Part (a)Give the distribution ofX. X~
• Part (b)If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than198feet? (Round your answer to four decimal places.)
• Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)

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