Question: This is a simple exercise in computing probabilities for a Poisson random variable. Suppose that (X) is a Poisson random variable with rate parameter (lambda=2).

This is a simple exercise in computing probabilities for a Poisson random variable. Suppose that $X$ is a Poisson random variable with rate parameter $\lambda=2$. Calculate $P(X=2)$, $P(X \leq 2)$, and $P(X \geq 3)$.

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