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Suppose Y 1 and Y 2 are independent random variables each with density function f (y) = 2y , 0 < y < 1. Determine

Suppose Y₁ and Y₂ are independent random variables each with density function f (y) = 2y , 0 < y < 1. Determine (a) f (y₁, y₂) and (b) E[Y₁Y₂].

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