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Suppose Y 1 and Y 2 are independent uniform random variables on the interval [0, 2]. Determine (a) f (y 1 , y 2 )

Suppose Y₁ and Y₂ are independent uniform random variables on the interval [0, 2]. Determine (a) f (y₁, y₂) and (b) P (2Y₂ < Y₁ + 2).

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