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An electrical component is designed to provide a mean service life of 4000 hours, with a...

An electrical component is designed to provide a mean service life of 4000 hours, with a standard deviation of 800 hours. A customer purchases a batch of 50 components; assume that this batch can be considered a simple random sample drawn from the large population of components. What is the probability that the mean life for the group of 50 components will be at least 3900 hours?

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