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Suppose a factory has 1000 machines, each with a usual life of X (in years) that is exponentially distributed with mean 2 and standard deviation

Suppose a factory has 1000 machines, each with a usual life of X (in years) that is exponentially distributed with mean 2 and standard deviation 2. What is the probability that the mean lifespan of the sampled machine is at most three years?

0.0013

0.0031

0.95

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