Show that the mean of the beta-Pascal distribution is given by the formula in Section 7.3, namely,

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Show that the mean of the beta-Pascal distribution 

= (S) p(S|R, r, s) = B(r" +s, R"  r" + S  s) B(r"-1, R" - r")

is given by the formula in Section 7.3, namely, 

R" 2 ES = (+1) ()-1. 2

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