Let X1 and X2 be discrete random variables with joint

Chapter 8, Problem 7.4

(choose chapter or problem)

Let \(X_1\) and \(X_2\) be discrete random variables with joint probability distribution

\(f\left(x_{1}, x_{2}\right)=\left\{\begin{array}{ll} \frac{x_{1} x_{2}}{18}, & x_{1}=1,2 ; x_{2}=1,2,3, \\ 0, & \text { elsewhere, } \end{array}\right.\)

Find the probability distribution of the random variable \(Y = X_1 X_2\).

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