SOLUTION: In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
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a.
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Question 473237: In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
a. Find the probability that he gets more than seven correct.
He needs to obtain over half of the marks to pass and each question carries equal weight.
b. Find the probability that he passes the test.
You can put this solution on YOUR website! In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
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Binomial Problem with n=10 and p = 1/4
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a. Find the probability that he gets more than seven correct.
P(8<= x <=10) = 1 - P(0<= x <=7) = 0.0004158
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He needs to obtain over half of the marks to pass and each question carries equal weight.
b. Find the probability that he passes the test.
P(6<= x <=10) = 1-P(0<= x <=5) = 0.0197
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Cheers,
Stan H.
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