Under X|θ ~ N(θ, σ^2) and θ ~ N(μ, τ^2), the marginal distribution of X is Normal with mean μ and variance σ^2 + τ^2.

Master the Casualty Actuarial Society MAS-1 Exam with flashcards and multiple choice questions, hints, and explanations. Get prepared for your exam!

Multiple Choice

Under X|θ ~ N(θ, σ^2) and θ ~ N(μ, τ^2), the marginal distribution of X is Normal with mean μ and variance σ^2 + τ^2.

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