4.4. A coin is tossed repeatedly until two successive heads appear. Find the mean number of tosses...

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4.4. A coin is tossed repeatedly until two successive heads appear. Find the mean number of tosses required.

Hint: Let X,, be the cumulative number of successive heads. The state space is 0, 1, 2 and the transition probability matrix is

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Determine the mean time to reach state 2 starting from state 0 by invoking a first step analysis.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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Question Posted: Oct 31, 2024 03:00 AM

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4.4. A coin is tossed repeatedly until two successive heads appear. Find the mean number of tosses...

Question:

0 0 1 2 P = 1 0 210 0

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An Introduction To Stochastic Modeling

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