Cigarette packets used to contain cards representing such things as flowers, film stars or footballteams. A complete set would comprise n different cards, say, and collectors would aim toobtain a complete set. Clearly, the first packet bought would contain a new card which wouldstart the collection. The next card obtained might simply duplicate the first card, or it mightalso be a new card, and add to the collection, and so on. Obtain expressions for the mean andvariance of the number of packets which must be purchased until a complete set of cards isobtained.

e set. Clearly, the first packet bought would contain a new card w n. The next card obtained might simply duplicate the first card, d, and add to the collection, and so on. Obtain expressions for the number of packets which must be purchased until a complete set

e set. Clearly, the first packet bought would contain a new card w n. The next card obtained might simply duplicate the first card, d, and add to the collection, and so on. Obtain expressions for the number of packets which must be purchased until a complete set

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

Cigarette packets used to contain cards representing such things as flowers, film stars or football
teams. A complete set would comprise n different cards, say, and collectors would aim to
obtain a complete set. Clearly, the first packet bought would contain a new card which would
start the collection. The next card obtained might simply duplicate the first card, or it might
also be a new card, and add to the collection, and so on. Obtain expressions for the mean and
variance of the number of packets which must be purchased until a complete set of cards is
obtained.

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