Using E(Y) = E[E(Y | X)] and var(Y) = E[var(Y | X)] + var[E(Y | X)], derive

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Using E(Y) = E[E(Y | X)] and var(Y) = E[var(Y | X)] + var[E(Y | X)], derive the mean and variance of the

(a) Beta-binomial distribution,

(b) Negative binomial distribution.

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