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Competitive Stats
Q16Section I (Objective (Q1–Q80))16 of 80

Probability — pmf of a squared-and-shifted Poisson variable

Let X be a Poisson random variable with p.m.f. P(X=k)=e−λλkk!P(X=k)=\frac{e^{-\lambda}\lambda^k}{k!}, k=0,1,2,…k=0,1,2,…; λ>0\lambda>0; 0 otherwise. If Y=X2+3Y=X^2+3, then what is P(Y=y)P(Y=y) equal to?

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