8. An urn contains N identical marbles numbered 1 through N. From the urn n marbles are...
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8. An urn contains N identical marbles numbered 1 through N. From the urn n marbles are drawn and let X(n) be the largest number drawn. Show that P(X(n) = k) = k−1 n−1
*N n
, k = n,n+1, . . . ,N, and EX(n) = n(N +1)/(n+1).
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Related Book For
An Introduction To Probability And Statistics
ISBN: 9781118799642
3rd Edition
Authors: Vijay K. Rohatgi, A. K. Md. Ehsanes Saleh
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