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. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of...

. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of which is correct. A correct answer is worth 4 points (a ticket with the value of 4), but a point is taken off for each incorrect answer (a ticket with the value of -1). A student answers all 25 questions by guessing at random.

a) Present the problem with an appropriate box model.

Find the expected value and the standard error for the sum of 25 draws. Interpret this sum in terms of the scores.

b) What is the chance that the student will get a score above 50?

. A quiz has 25 multiple choice questions. Each question has 3 possible answers, one of which is correct. A correct answer is worth 4 points (a ticket with the value of 4), but a point is taken off for each incorrect answer (a ticket with the value of -1). A student answers all 25 questions by guessing at random.

a) Present the problem with an appropriate box model.

Find the expected value and the standard error for the sum of 25 draws. Interpret this sum in terms of the scores.

b) What is the chance that the student will get a score above 50?

Math   Statistics-And-Probability   
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