Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet anda standard deviation of 50 feet. a. if x = distance in feet for a fly ball, then x ~ . if one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than220 feet? sketch the graph. scale the horizontal axis x. shade the region corresponding to the probability. find the probability. c. find the 80th percentile of the distribution of fly balls. sketch the graph, and write the probability statement.

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the distribution of act scores in recent years has been roughly normal with mean µ = 20.9 and standard deviation s = 4.8. sat scores are reported on a scale from 400 to 1600. sat scores have been roughly normal with mean µ = 1026 and standard deviation s = 209. reports on a student's act or sat usually give the percentile as well as the actual score. the percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. tanya scores 1260 on the sat. what is her percentile (± 1)?