1.3.6 Suppose .X1;X2;X3/ has a multinomial distribution with parameters M and i > 0 for i D...

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1.3.6 Suppose .X1;X2;X3/ has a multinomial distribution with parameters M and

i > 0 for i D 1;2; 3, with 1 C2 C3 D 1.

(a) Determine the marginal distribution for X1.

(b) Find the distribution for N D X1 CX2.

(c) What is the conditional probability PrfX1 D kjN D ng for 0  k  n?

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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