Let Y Be A Random Variable With Probability Density Function Given By 2 1 Y 0 Y 1 Elsewhere A Find The Densit 1 (18.11 KiB) Viewed 28 times
Let y be a random variable with probability density function given by [2(1-y), 0 ≤ y ≤ 1, elsewhere. (a) Find the density function of U₁ = 8Y - 7. f(y) = Fu₂ (4) - {2(1- = fu₂ (u) = (b) Find the density function of U₂ = 7 - 8Y. Fuz (4) elsewhere elsewhere (c) Find the density function of U3 = y². elsewhere sus sus sus
(d) Find E(U₁), E(U₂), and E(U3) by using the derived density functions for these random variables. (Round your answers to three decimal places.) E(U₁) E(U₂) = E(U3) = = (e) Find E(U₁), E(U₂), and E(U3) by the methods of Chapter 4. (Round your answers to three decimal places.) E(U₁) E(U₂) = E(U3) = =
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