8. 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 y balls. 1. If? = average distance in feet for 49 y balls, thenf "' I: . ) 2. What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis forf. Shade the region corresponding to the probability. Find the probability. 3. Find the EH2)lh percentile of the distribution of the average of 49 fly balls. _ 85. X "' M60. 9). Suppose that you form random samples of 25 from this distribution. Let? be the random variable of averages. Let EX be the random variable of sums. For parts c through f, sketch the graph, shade the region, label and scale the horizontal axis forj, and nd the probability. 1. Sketch the distributions ofX andfon the same graph. 2. f\" _l_._) 7 3, P(E