Poisson Probability Computation

00:00 3 marks

A random variable $X$ follows a Poisson distribution with a mean of $\lambda = 4$. Compute $P(X = 3)$ using the probability mass function of the Poisson distribution, where $P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}$.

Hint Hint

Hint

Substitute $\lambda = 4$ and $k = 3$ into the Poisson PMF formula.

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Answer Answer

Complete Answer

$\frac{32e^{-4}}{3}$

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