A Winner's Mean Earnings in Lottery and Inverse Moments of the Binomial Distribution

Figure 1

Comparison of $G(n,p)/n$ as given by (2.6) versus $F$ (in blue and red, resp.) for $p=0.1$ (a) and $p=0.01$ (b). For $p\le 0.01$ the two curves are indistinguishable.

(a)

(b)