Let X∼Poisson(λ=3)X \sim \text{Poisson}(\lambda = 3)X∼Poisson(λ=3). What is P(X=2)P(X = 2)P(X=2)?
9e−32\frac{9e^{-3}}{2}29e−3
6e3\frac{6}{e^3}e36
92e3\frac{9}{2e^3}2e39
3e−63e^{-6}3e−6