Assume that X and Y are two random variables. Suppose Y is exponential with mean 798. Suppose that, when X is conditional on Y = y, it is exponential with mean y. (X itself is not exponential, but when X is conditional on Y = y it is exponential.) What is the correlation of X and Y? Give four decimal places and use random variables.

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Assume that X and Y are two random variables. Suppose Y is exponential with mean 798.
Suppose that, when X is conditional on Y = y, it is exponential with mean y. (X itself is not
exponential, but when X is conditional on Y = y it is exponential.) What is the correlation of X
and Y? Give four decimal places and use random variables.
Transcribed Image Text:Assume that X and Y are two random variables. Suppose Y is exponential with mean 798. Suppose that, when X is conditional on Y = y, it is exponential with mean y. (X itself is not exponential, but when X is conditional on Y = y it is exponential.) What is the correlation of X and Y? Give four decimal places and use random variables.
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