Question: State Police Academy graduates from a large graduating class have
State Police Academy graduates from a large graduating class have scored an average of 81.0 on a proficiency test, and the scores are normally distributed with σ = 8.5. Graduates are randomly paired and assigned to barracks throughout the state. Madeleine has scored 83.0 on the test. What is the probability that she will be paired with someone whose score was within 5.0 points of her own?
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