[C(¹00) PTP² if m, n = {0, 1, 2, 3,...}otherwisepx,y (m, n) = .= { C (2) PT.0Given p1 and p2 be positive real numbers less than 1 and let X and Y be discrete randomvariables with joint probability mass function as shown above:Find the marginal probability mass functions of X and Y. (Compute these functions in terms of p₁ and P2 only, not in terms of C. In other words, find the value of C.)Determine if X and Y are independent, dependent, or if there is not enough information to determine this.In this part, assume that p₁ = P₂ =p, then compute the probability mass function of X+Y.

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A First Course in Probability (10th Edition)

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Given p1 and p2 be positive real numbers less than 1 and let X and Y be discrete random variables with joint probability mass function as shown above: