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At a small liberal arts college, students can register for one to six courses. In a...

At a small liberal arts college, students can register for one to six courses. In a typical fall semester, 5% of students take one class, 26% take four classes, and 15% take six classes.

a) If 77% of students take four or more classes, find the probability that a randomly selected student takes five courses. What is the probability that a randomly selected student takes three classes, if 10% take at most two classes?

b) Calculate the expected value and standard deviation for the number of classes students enroll in.

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