3.9.9 One-fourth of the married couples in a distant society have no children at all. The other...

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3.9.9 One-fourth of the married couples in a distant society have no children at all.

The other three-fourths of couples continue to have children until the first girl and then cease childbearing. Assume that each child is equally likely to be a boy or girl.

(a) For k D 0;1;2; : : : , what is the probability that a particular husband will have k male offspring?

(b) What is the probability that the husband’s male line of descent will cease to exist by the fifth generation?

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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