Use the Poisson Distribution to find the indicated probability.
-If the random variable x has a Poisson Distribution with mean $\mu = 3 ,$ find the probability that x = 5.
A) 0.12602
B) 0.01680
C) 0.10082
D) 0.27405

Question

Quizplus · Accepted Answer

The probability of a Poisson random variable x with mean $\mu$ is given by $P(x) = \frac{e^{-\mu} \mu^x}{x!}$. For $\mu = 3$ and $x = 5$, $P(5) = \frac{e^{-3} \cdot 3^5}{5!} = 0.10082$.

Use the Poisson Distribution to Find the Indicated Probability μ=3,\mu = 3 ,μ=3,

Use the Poisson Distribution to Find the Indicated Probability $\mu = 3 ,$