On a test taken by 100 students, the average mark is 65, with variance 144. Student A

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On a test taken by 100 students, the average mark is 65, with variance 144. Student A scores 83, student B scores 47.

(a) Calculate the z scores for these two students.

(b) What is the maximum number of students with a score either better than A’s or worse than B’s?

(c) What is the maximum number of students with a score better than A’s?

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