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 – 2r³ for 0 < I< 1. Find the probability that the elderly employment rate is at least .6 (60%).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 – 2r³ for 0 < I< 1.
Find the probability that the elderly employment rate is at least .6 (60%).
Transcribed Image Text: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 – 2r³ for 0 < I< 1. Find the probability that the elderly employment rate is at least .6 (60%).
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