A random variable Y has distribution function F(y) = 0, if y < 0, y2 + 0.1, if 0 y <
Chapter 4, Problem 4.159(choose chapter or problem)
A random variable Y has distribution function F(y) = 0, if y < 0, y2 + 0.1, if 0 y < 0.5, y, if 0.5 y < 1, 1, if y 1. a Give F1(y) and F2(y), the discrete and continuous components of F(y). b Write F(y) as c1F1(y) + c2F2(y). c Find the expected value and variance of Y .
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