Recall from class: (X, X... X,) is said to be jointly distributed as a Multinomial (n;...

 

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Recall from class: (X₁, X₂... X,) is said to be jointly distributed as a Multinomial (n; p. p....pr) if for any set of integers n.....n, with 0 <n; ≤n and Σn = n. PX₁X, (1, 2,..p)= P(X₁ = n₁₁ X₂ = n₂....X,= n₂) ning!! (i) If (X₁, X₂, X3) is Multinomial (npr. p2.ps), show that X, follows Binomial (n. p₁). (ii) Are X₁ and X₂ independent? Why? Recall from class: (X₁, X₂... X,) is said to be jointly distributed as a Multinomial (n; p. p....pr) if for any set of integers n.....n, with 0 <n; ≤n and Σn = n. PX₁X, (1, 2,..p)= P(X₁ = n₁₁ X₂ = n₂....X,= n₂) ning!! (i) If (X₁, X₂, X3) is Multinomial (npr. p2.ps), show that X, follows Binomial (n. p₁). (ii) Are X₁ and X₂ independent? Why?

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In this question you are given that X1 X2 Xk is jointly distributed as a Multinomial distribution with parameters n and p1 p2 pk You are presented wit... View the full answer