A submarine has three navigational devices but can remain at sea if at least two are working.

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A submarine has three navigational devices but can remain at sea if at least two are working. Suppose that the failure times are exponential with means 1, 1.5, and 3 years. Formulate a Markov chain with states 0 D all parts working, 1,2,3 D one part failed, and 4D two failures. Compute E0T4 to determine the average length of time the boat can remain at sea.

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