Question: Suppose that X is a Poisson random variable, where pX(k) = ek/k!, k = 0, 1, . . . . (a) Does the random variable

Suppose that X is a Poisson random variable, where pX(k) = e−λλk/k!, k = 0, 1, . . . .
(a) Does the random variable W = 3X have a Poisson distribution?
(b) Does the random variable W =3X +1 have a Poisson distribution?

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