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Let us suppose that a certain probability instructor manages, with probability 1, to write exams that...

Let us suppose that a certain probability instructor manages, with probability 1, to write exams that have mean 6565 and standard deviation 1313. The instructor is teaching two classes, one of size 100 and the other of size 25, and is about to give an exam to both classes.

(a) Approximate the probability that the average test score in the class of size 100 exceeds 70.
Probability ≈≈

(b) Repeat part (a) for the class of size 25.
Probability ≈≈

(c) Approximate the probability that the average test score in the larger class exceeds that of the other by more than 1.4 points.
Probability ≈≈

(d) Approximate the probability that the average test score in the smaller class exceeds that in the other by more than 1.4 points.
Probability ≈≈

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