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State Police Academy graduates from a large graduating class have scored an average of 81.0 on a proficiency test, and the scores have been normally distributed, with σ = 8.5.

Graduates are randomly paired and assigned to barracks throughout the state. Madan has scored 83.0 on the test. What is the probability that he will be paired with someone whose score was within 5.0 points of his own?

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Category:- Statistics and Probability
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