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People who go on a (leisure) vacation tend to gain weight. It is thought that the...

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 the probability that the ten vacationing people gain an average between 1 and 2 pounds?

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