Continuation, 13 Show that when a fixed number r of balls is placed ran- domly into n

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Continuation, 13 Show that when a fixed number r of balls is placed ran- domly into n cells the probability of finding exactly m cells empty equals the coefficient of e/r! in the expression above.

(a) Discuss the connection with moment generating functions (problem 24 of XI, 7).

(b) Use the result for an effortless derivation of II,(11.7).

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An Introduction To Probability Theory And Its Applications Volume 1

ISBN: 9780471257110

3rd Edition

Authors: William Feller

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Continuation, 13 Show that when a fixed number r of balls is placed ran- domly into n

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An Introduction To Probability Theory And Its Applications Volume 1

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