Question: Consider two independent, exponential random variables U, V exp(1). Let X = U + V and Y = U/(U + V ). (a) Calculate the

Consider two independent, exponential random variables U, V exp(1).

Let X = U + V and Y = U/(U + V ).

(a) Calculate the joint pdf of X and Y .

(b) ) Identify the support and pdf of X. Identify the support and pdf of y . Name the distributions, if any.

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