# C suppose that the operator gets to take a break

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Unformatted text preview: ndependent? 2.14. 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 year, 1.5 years, and 3 years. What is the average length of time the boat can remain at sea. 2.15. Excited by the recent warm weather Jill and Kelly are doing spring cleaning at their apartment. Jill takes an exponentially distributed amount of time with mean 30 minutes to clean the kitchen. Kelly takes an exponentially distributed amount of time with mean 40 minutes to clean the bath room. The ﬁrst one to complete their task will go outside and start raking leaves, a task that takes an exponentially distributed amount of time with a mean of one hour. 94 CHAPTER 2. POISSON PROCESSES When the second person is done inside, they will help the other and raking will be done at rate 2. (Of course the other person may already be done raking in which case the chores are done.) What is the expected time until the chores are all done? 2.16. Ron, Sue, and Ted arrive at the beginning of a professor’s o ce hours. The amount of t...
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