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a.) There are 15 multiple-choice questions on an exam, each havingresponses a,b,

ID: 2913716 • Letter: A

Question

a.) There are 15 multiple-choice questions on an exam, each havingresponses a,b,c,d, or e. Suppose a student guesses the answer tothe question, and her guesses from question to question areindependent. If the student needs at least 7 points to pass thetest, what is the probability that the student passes?

Explanation / Answer

Let X be the number of questions get correct in the test X~Binomial (n = 15, p = 0.2) P(X > 7) = 0.0181 ( I usehttp://www.stat.tamu.edu/~west/applets/binomialdemo.htmlto find the probability of binomial distribution. Alternatively,you may use statistical table to compute the probabaility) Hope this helps!

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