Question: A SAT test is made of multiple choice questions each with 5 possible answers. Assume that a person makes random guesses for 8 of the

A SAT test is made of multiple choice questions each with 5 possible answers. Assume that a person makes random guesses for 8 of the questions.

(a) What is the probability that the person answers correctly exactly 7 of the questions?

(b) What is the probability that the person answers correctly at least 2 of the questions?

(c) What is the probability that the person answers correctly no more than 2 of the questions?

(d) How many questions does the person expect to answer correctly?

(e) What is the standard deviation for the number of correct answers among the 8 questions?

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