10. [0/3.25 Points] DETAILS PREVIOUS ANSWERS ILLOWSKYINTROSTAT1 6.2.076.HW. MY NOTES PRACTICE ANOTHER Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 240 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball. Part (a) Give the distribution of X. X - n x 240 x 40 X Part (b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.) Sketch the graph. 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 200 300 400 O 200 300 400 0.010 0.010 0.008 0.008 0.006 0.006 0.004 0.004 0.002 0.002 -X O 200 - X 300 400 O 200 300 400Enter an exact number. Part (c) Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.) |ft Sketch the graph. 100 200 300 400 O 100 200 300 400 100 20 300 400 100 20 300 400 Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) P(X