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