Answer: 0.19

## Explanation For a Poisson random variable: - E(X) = λ = 0.25 - The probability mass function is: P(X=k) = (e^(-λ) * λ^k) / k! For P(X=1): P(X=1) = (e^(-0.25) * (0.25)^1) / 1! = e^(-0.25) * 0.25 Calculating: e^(-0.25) ≈ 0.7788 0.7788 * 0.25 ≈ 0.1947 ≈ 0.19 Therefore, P(X=1) = 0.19, which matches option C.

Author: Tanishq Prabhu