Using the Normal Distribution · Exercise 26
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.
(a) If X = distance in feet for a fly ball, then X ~ _____(_____,_____)
(b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 220 feet? Sketch the graph. Scale the horizontal axis X. Shade the region corresponding to the probability. Find the probability.
(c) Find the 80^th percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Introductory Statistics 2e · §6.2 Using the Normal Distribution · Exercise 26
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