A particular kind of bacterium either splits into 3 bacte- ria of the same kind or dies, with probability p and 1-p respectively. At any point of time, all such bacteria that exist behave in the de- scribed way, independently. If a system contains 1 bacterium of this kind, find the probability that eventually the system will be free of such bacteria, assuming that bacteria from outside the system cannot enter it.

A particular kind of bacterium either splits into 3 bacte- ria of the same kind or dies, with probability p and 1-p respectively. At any point of time, all such bacteria that exist behave in the de- scribed way, independently. If a system contains 1 bacterium of this kind, find the probability that eventually the system will be free of such bacteria, assuming that bacteria from outside the system cannot enter it.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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