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The average weight of a cereal box is 20 ounces with a variance of 0.25 ounces. A sample of 25 boxes is randomly selected and weighed.

The average weight of a cereal box is 20 ounces with a variance of 0.25 ounces. A sample of 25 boxes is randomly selected and weighed. What is the probability that the mean of the sample is less than 19.9 ounces?

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