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Suppose a drug manufacturing facility has 1,000 machines, and each machine's lifetime is exponentially distributed with a mean 2 and standard deviation of 2. What

Suppose a drug manufacturing facility has 1,000 machines, and each machine's lifetime is exponentially distributed with a mean 2 and standard deviation of 2. What is the probability that the mean lifetime of the sampled machine (1,000 machines) is at most 3 years?

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