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Q61Section ST (Statistics (Q11–Q65))61 of 65

Mixed moment from a factored MGF

Let (X,Y)(X,Y) be a random vector having joint moment generating function given by MX,Y(u,v)=eu2/2(1−2v)−3M_{X,Y}(u,v) = e^{u^2/2} (1 - 2v)^{-3}, −∞<u<∞-\infty < u < \infty, −∞<v<12-\infty < v < \frac12. Then E(6X2Y)E\left(\frac{6X^2}{Y}\right) equals ________ (rounded off to two decimal places).

Numerical answer: type the number (no options).

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