GATE 2025 ST – Question 14

Standard Univariate Distributions · Discrete Distributions · 1 mark · Multiple choice

For X~Poisson(ln2), find E[e^((ln3)X)].

Show answer and explanation

Correct answer: (D) 4

Explanation

The Poisson MGF is exp[λ(eᵗ−1)]. With λ=ln2,t=ln3, the expectation is exp[(ln2)(3−1)]=e^(2ln2)=**4, D**.

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