A ballot contains N chips numbered 1, 2,,N.We select k chips with replacement. Let X be the

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A ballot contains N chips numbered 1, 2,…,N.We select k chips with replacement.

Let X be the largest number on the chips drawn.

(i) Find the probability function f (x) = P(X = x).

(ii) Find the expected value of X.

(Note that this is not the same setup as in Example 4.10, because there we had no replacement.)

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Introduction To Probability Volume 2

ISBN: 9781118123331

1st Edition

Authors: Narayanaswamy Balakrishnan, Markos V. Koutras, Konstadinos G. Politis

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