(Solution) - Prove Corollary 5 9 2 In Corollary 5 9 2 Suppose that the random vector X -(2025 Original AI-Free Solution)

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Prove Corollary 5.9.2.
In Corollary 5.9.2.
Suppose that the random vector X = (X1, . . . , Xk) has the multinomial distribution with parameters n and p = (p1, . . . , pk) with k > 2. Let ? < k, and let i1, . . . , i? be distinct elements of the set {1, . . . , k}. The distribution of Y = Xi1 + . . . + Xi? is the binomial distribution with parameters n and pi1 + . . . + pi?.