Question: 1. Let X have an exponential distribution with parameter A. Suppose that given X = x, Y is exponentially distributed with parameter 1/r. (a) What

1. Let X have an exponential distribution with parameter A. Suppose that given X = x, Y is exponentially distributed with parameter 1/r. (a) What is the joint density function of X and Y? (b) What is the covariance of X and Y? (c) Conditional on Y = 3, what is the density function of X? [You do not need to calculate the constant factor

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