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The mean output of a certain type of amplifier is 117 watts with a variance of 100. If 42 amplifiers are sampled, what is

The mean output of a certain type of amplifier is 117 watts with a variance of 100. If 42 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 3.3 watts? Round your answer to four decimal places.

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