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A test consists of 25 multiple choice questions. Each question has 5 possible answers, or which...

A test consists of 25 multiple choice questions. Each question has 5 possible answers, or which only one is correct. If a student guesses on each question, find the following.

a) The probability that he will guess all of them correct

b)The probability that he will guess at most 15 correct.

c)The probability that he will guess at least one correct.

d) The mean and the standard deviation of the number of correct answers.

e)Estimate the probability of the number of correct answers that will fall within 2 standard deviations of the mean.

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