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We generate a random variable Y ∼ Exp(1). Given Y = y, then we generate another...

We generate a random variable Y ∼ Exp(1). Given Y = y, then we generate another exponential random variable X whose rate parameter is y.

(a) Find the joint density of (X, Y )

(b) Suppose we observe X = x but not the value of Y . What is now the conditional density of Y ?

math   Statistics-And-Probability   
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