=+6. A noncentral chi-square random variable X has a 2 n+2Y distribution conditional on a Poisson random

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=+6. A noncentral chi-square random variable X has a χ2 n+2Y distribution conditional on a Poisson random variable Y with mean λ. Show that E(X) = n + 2λ and Var(X)=2n + 8λ.

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