Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of240feet and a standard deviation of48feet. LetX= distance in feet for a fly ball.

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than186feet? (Round your answer to four decimal places.)

Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)

Write the probability statement. (Letkrepresent the score that corresponds to the 80th percentile.)

P(X<k) =