Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.

a. If X̅ = average distance in feet for 49 fly balls, then X̅ ~ _______(_______,_______)

b. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for X̅ . Shade the region corresponding to the probability. Find the probability.

c. Find the 80th percentile of the distribution of the average of 49 fly balls.