Question: A student is going to take a 6 question multiple-choice test.Each question has FIVE choices for the answer, but only one of which is correct.The

A student is going to take a 6 question multiple-choice test.Each question has FIVE choices for the answer, but only one of which is correct.The student forgot to study and plans to randomly guess each question.Let Xbe the number of correct answers the student gets.

(a)Find the probability that the student obtains at least 2 correct answers.

(b) Find the mean and variance of X.

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