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Applicants for employment at a large company are given a general skills test. The scores on this exam are normally distributed with a mean of

Applicants for employment at a large company are given a general skills test. The scores on this exam are normally distributed with a mean of 115 and a standard deviation of 20. A random sample of 35 of the applicants is selected. What is the probability that the average score of these 35 applicants is between 112 and 115?

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