Ononot — Let X \sim \text{Poisson}(\lambda1) and Y \sim \text{Poisson

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Let $X \sim \text{Poisson}(\lambda_1)$ and $Y \sim \text{Poisson}(\lambda_2)$ be independent Poisson random variables. Find $P(X = Y)$ in terms of the modified Bessel function of the first kind of order 0, $I_0(z)$ .