IFoA CS2 Practice Questions - IFoA CS2 Risk Modelling And Survival Analysis Exam

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For a compound Poisson aggregate-claims distribution S with Poisson parameter λ and claim sizes X, which expression gives Var(S)?

λ E[X] λ E[X^2] λ Var(X) λ^2 E[X]^2

Correct Answer:

λ E[X^2]

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