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Suppose Y 1 and Y 2 are independent uniform random variables on (0, 1). Find the probability density function for U = Y 1 Y

Suppose Y₁ and Y₂ are independent uniform random variables on (0, 1). Find the probability density function for U = Y₁Y₂. Ans. f_U(u) = ln (u), 0 < u < 1

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