A genius is defined as "at least three standard deviations above the mean. Your math teacher teaches 3 classes each semester, 2 semesters per year. On average, each class consists of 20 random students. Therefore, over a 25-year career... a) How many "genius" math students can he expect to witness? b) Complete this sentence: About 1 in _________ (round to the nearest integer, such as 8) teachers witness exactly 3 genius students over his or her entire career.

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