Let Y denote a random variable that has a Poisson distribution with mean $\lambda = 3$. (Round your answers to three decimal places.) (a) Find $P(Y = 5)$. (b) Find $P(Y \ge 5)$. (c) Find $P(Y < 5)$.
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Step 1: The probability mass function of a Poisson random variable with mean λ is given by: $$P(Y = k) = \frac{e^{-\lambda} \lambda^k}{k!}$$ where k is a non-negative integer. Show more…
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