Question: Solve Exercise A-3 Let X denote the time it takes for a computer to shut down. Suppose X follows an Exponential distribution with expected value

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Exercise A-3 Let X denote the time it takes for a computer to shut down. Suppose X follows an Exponential distribution with expected value 12 seconds. A computer lab has ten independent computers that must all be shut down at the end of the day. (a) What is the probability that it takes any given computer at least 10 seconds to shut down? (b) What is the probability that it takes any given computer at least 1 minute to shut down? (c) What is the probability that all 10 computers successfully shut down in under 1 minute

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