Question 684334: You walk into statistics class one Wednesday & find that you’re having a pop quiz looking at the exam, you find that there are 72 multiple-choice questions with three possible responses (A, B or C) for each, where only one is correct. The passing grade is set at 50%. Unluckily for you, you haven’t been to a single class before this, nor have you ever opened the textbook. Actually, you can’t even say for sure who the guy is at the front of the class. You will have to guess the answer on all the questions. What is the probability that you will pass the exam?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You walk into statistics class one Wednesday & find that you’re having a pop quiz looking at the exam, you find that there are 72 multiple-choice questions with three possible responses (A, B or C) for each, where only one is correct. The passing grade is set at 50%. Unluckily for you, you haven’t been to a single class before this, nor have you ever opened the textbook. Actually, you can’t even say for sure who the guy is at the front of the class. You will have to guess the answer on all the questions. What is the probability that you will pass the exam?
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Note: 50% of 72 is 36
Binomial Problem with n = 72 ; p(correct) = 1/3
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P(36<= x <=72) = 1-P(0<= x <= 35) = 1 - binomcdf(72,1/3,35) = 0.0025
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Cheers,
Stan H.
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