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Sophie donates an amount of X to a charity, that can be modeled as a Exp(0.001) random variable. Conditional on X = x, Anna donates

Sophie donates an amount of X to a charity, that can be modeled as a Exp(0.001) random variable. Conditional on X = x, Anna donates a random amount Y which is uniform on the interval [0, x]. Compute (X,Y).

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