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Question: Alan Resnik, a friend of Ray Cahn


Alan Resnik, a friend of Ray Cahn man, bet Ray $5 that Ray’s car would not start 5 days from now (see Problem 14-8).

Problem 14-8:
Ray Cahn man is the proud owner of a 1955 sports car. On any given day, Ray never knows whether his car will start. Ninety percent of the time it will start if it started the previous morning, and 70% of the time it will not start if it did not start the previous morning.

(a). What is the probability that it will not start 5 days from now if it started today?
(b). What is the probability that it will not start 5 days from now if it did not start today?
(c). What is the probability that it will start in the long run if the matrix of transition probabilities does not change?


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2.99

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