Suppose that n independent trials-each of which results in either out- come 1, 2, .., r with
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Suppose that n independent trials-each of which results in either out- come 1, 2, .., r with respective probabilities P1, P2, p,--are per- formed, p. 1 Let N, denote the number of trials resulting in outcome i
(a) Compute the joint distribution of N, ..., N, This is called the multinomial distribution
(b) Compute Cov(N,, N,).
(c) Compute the mean and variance of the number of outcomes that do not occur.
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