Question: 3) For known k 2 2 show that the negative binomial distribution with probability mass function, K k k f ( y, k, M )

3) For known k 2 2 show that the negative binomial distribution with probability mass function, K k k f ( y, k, M ) = y+k- 1 y u + K y = 0, 1, 2, . . . belongs to the exponential family of distributions. Find the natural parameter for this distribution

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