Question: 3.6. Suppose (X,, X,, )(,) has a multinomial distribution with parameters M and ir, > 0 for i = 1, 2, 3, with 7r,+7r,+ir,= 1.

3.6. Suppose (X,, X,, )(,) has a multinomial distribution with parameters M and ir, > 0 for i = 1, 2, 3, with 7r,+7r,+ir,= 1.

(a) Determine the marginal distribution for X,.

(b) Find the distribution for N = X, + X,.

(c) What is the conditional probability Pr{X1 = kIN = n} for 0<_k--- n?

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