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Explain the solution of this stochastic process problem for me please?

 
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Feb17-13, 12:28 PM   #1
 

Explain the solution of this stochastic process problem for me please?

The page are under the attachment.

How to solve the Harry drives cross-country problem without technical symbol but with common explanation. the problem and solution is on page 17-18

I sort of confused with the reason why s take place in the solution, in another word, why the geometric distribution takes place in the solution?
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stochastic 1.jpg   stochastic 2.jpg  
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