Ononot — Let X and Y be independent random variables such that X \sim

Distributionshard

0:00.0

Let $X$ and $Y$ be independent random variables such that $X \sim \text{Poisson}(\lambda_1)$ and $Y \sim \text{Poisson}(\lambda_2)$ . What is the conditional distribution $P(X = k | X+Y = n)$ ?