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 ≤ × ≤ 1. Find the probability that the elderly employment rate is at least .6 (60%).
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