Question 414344: A student takes a 10-question multiple choice exam and guesses on each question. (This means that the probability of success on any one question is the same.) Each question has 5 choices, only one of which is correct. Find the probability that the student fails the exam, i.e. scores <60%. Note this is a binomial experiment.
Any help would be appreciated. Thanks!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A student takes a 10-question multiple choice exam and guesses on each question. (This means that the probability of success on any one question is the same.) Each question has 5 choices, only one of which is correct. Find the probability that the student fails the exam, i.e. scores <60%. Note this is a binomial experiment.
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Binomial Problem with n = 10 and p = 1/5
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Failing means the student get 0 to 5 questions correct.
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P(0<= x <=5) = binomcdf(10,0.2,5) = 0.9936
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Cheers,
Stan H.
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