Question: 2.3. A population having N distinct elements is sampled with replacement. Because of repetitions, a random sample of size r may contain fewer than r

2.3. A population having N distinct elements is sampled with replacement.

Because of repetitions, a random sample of size r may contain fewer than r distinct elements. Let S, be the sample size necessary to get r distinct elements. Show that

E[S] = N(+ 1 + N-1 1 N-r+1/

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