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Steve is a student in a statistics course. He is not a good student. A multiple-choice...

Steve is a student in a statistics course. He is not a good student. A multiple-choice test is coming up and he will just rely on luck to pass the test. There are 10 multiple-choice questions on the test, with 5 possible answers given for each question, one of them being the correct one. Steve is going to guess the answer to each question.

What is the probability that Steve gets no answers correct?

What is the probability that Steve gets two answers correct?

What is the probability that Steve fails the test? 50% is the passing mark.

Suppose you have a class full of students like Steve. What would be the average and standard deviation of the class mark?

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