Question: 3.5 a. For a Negative Binomial distribution Y NBin(r,), find E(Y) and var(Y ). b. Notice that for the Poisson distribution E(Y) = var(Y

3.5

a. For a Negative Binomial distribution Y ∼ NBin(r,θ), find E(Y) and var(Y ).

b. Notice that for the Poisson distribution E(Y) = var(Y ), for the Binomial distribution E(Y) > var(Y) and for the Negative Binomial distribution E(Y) < var(Y ). How might these results affect your choice of a model?

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