Part BCSIR NET December 2023mgf-factorisation

Mgf factorisation

Let (X, Y) have joint moment generating function $M (t_{1}, t_{2}) = (3/4 +$ $e^{t_{1}} /4)^{2}$ (5/6 + $e^{t_{2}} /6)^{3}$ . Then P(X + 2Y > 1) equals

A.1581/3456
B.1875/3456
C.125/3456
D.3331/3456

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Mgf factorisation

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