Let (X1, X2) be a random vector having the probability mass function f(x1, x2)=begincases c/x1! x2! (12-x1-x2)!, & if x1, x2in0, 1, dots, 12, x1+x2 le 12, 0, & otherwise, endcases where c is a real constant. Then, which of the following statements is/are TRUE?

Q34Section B (Section B)34 of 60

Moments of symmetric trinomial distribution

Let $(X_1, X_2)$ be a random vector having the probability mass function $f(x_1, x_2)=\begin{cases} \frac{c}{x_1! x_2! (12-x_1-x_2)!}, & \text{if }x_1, x_2\in\{0, 1, \dots, 12\}, x_1+x_2 \le 12, \ 0, & \text{otherwise,} \end{cases}$ where $c$ is a real constant. Then, which of the following statements is/are TRUE?

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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