Question: On a multiple-choice test with 50 questions, each question has possible answers of a, b, c, and d, one of which is correct. For students

On a multiple-choice test with 50 questions, each question has possible answers of a, b, c, and d, one of which is correct. For students who guess at all answers, find the mean, variance, and standard deviation for the number of correct answers that would be expected. Would it be unusual for one of these students to get a good mark by guessing at least 40 correct answers? Why or why not?
Find the indicated values.

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