For a randomly selected county in the United States, let X represent the proportion of adults over age 65 who are employed, or the elderly employment rate. Then, X is restricted to a value between zero and one. Suppose that the cumulative distribution function for X is given by F (x) = 3x2 ? 2x3 for 0 ? x ? 1. Find the probability that the elderly employment rate is at least 0.6 (60%).
