Suppose Y 1 and Y 2 are continuous random variables with joint probability density function f (y 1 , y 2 ) 6(1 y 2 ), 0 y 1 y 2 1 Find (a) E(Y 1 Y 2 y 2 ) and (b) E(Y 1 ) using the result of (a) Ans (a) y 2 2 (b) E(Y 1 ) 1 4

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Question: Suppose Y 1 and Y 2 are continuous random variables with joint probability density function f (y 1 , y 2 ) = 6(1 y

Suppose Y₁ and Y₂ are continuous random variables with joint probability density function f (y₁, y₂) = 6(1 y₂), 0 y₁ y₂ 1. Find (a) E(Y₁ | Y₂ = y₂) and (b) E(Y₁) using the result of (a). Ans. (a) y₂/2 (b) E(Y₁) = 1/4

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