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People who go on a (leisure) vacation tend to gain weight. It is thought that the average difference between weight before the vacation and after the vacation is roughly 2 pounds with a standard deviation of 2.5 pounds. Ten vacationing people are to be randomly selected and their weights measured, both upon departure and return of their vacation.
-If we can assume that the differences are normally distributed, what is probability that the ten vacationing people actually lost weight, on average?

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