The joint moment generating function of (X,Y) is given by MX,Y(s,t)=(frac14+frac12 e^s+frac14 e^t)^2,qquad (s,t)inR^2. Then which of the following statements is/are correct?

Q34Section B (Section B)34 of 60

Moments from a squared trinomial mgf

The joint moment generating function of $(X,Y)$ is given by $M_{X,Y}(s,t)=\left(\frac14+\frac12 e^s+\frac14 e^t\right)^2,\qquad (s,t)\in\mathbb{R}^2.$ Then which of the following statements is/are correct?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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