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The mean number of words per minute (WPM) typed by a speed typist is 79 with...

The mean number of words per minute (WPM) typed by a speed typist is 79 with a variance of 225. What is the probability that the sample mean would differ from the population mean by less than 2.7 WPM if 97 speed typists are randomly selected? Round your answer to four decimal places.

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