Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of236feet and a standard deviation of48feet. We randomly sample 49 fly balls.

Please Be very careful with the rounding and use all decimal places when needed

• Part (a)
• IfX= average distance in feet for 49 fly balls, then give the distribution ofX.
• Round your standard deviation to two decimal places.
• X~_____(______,______).
• Part (b)
• What is the probability that the 49 balls traveled an average of less than228feet? (Round your answer to four decimal places.)

____________

• Sketch the graph. Scale the horizontal axis forX.
• Shade the region corresponding to the probability.
• Part (C)

Find the60thpercentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)

___________ft