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An under prepared student is given a ten question, multiple choice, pop quiz that has four...

An under prepared student is given a ten question, multiple choice, pop quiz that has four choices (A,B,C,D). He guesses on every problem. Find the following.

(a) the average number of correct questions

(b) the standard deviation in correct questions

(c) the probability of getting half of the questions correct

(d) the probability of getting all incorrect

(e) the probability of getting at least one correct

(f) the probability of getting no more than two correct

(g) the probability of passing (70% or higher)

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