Question 273094: A Teaching Assistant develops a multiple choice test that consists of 10 questions. Each question consists of four possible answers, with one answer being correct. If a student has no idea regarding the correct answers to the questions, what is the likelihood of obtaining exactly, 1,2,3,4,5,6,7,8,9,or 10 correct answers
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A Teaching Assistant develops a multiple choice test that consists of 10 questions. Each question consists of four possible answers, with one answer being correct. If a student has no idea regarding the correct answers to the questions, what is the likelihood of obtaining exactly, 1,2,3,4,5,6,7,8,9,or 10 correct answers
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Binomial Problem with n = 10 ; p = 1/4
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Form for all you answers: P(x=k) = 10Ck(1/4)^k*(3/4)^(10-k)
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Example:
P(x = 3) = 10C3(1/4)^3(3/4)^7 = 120*0.01563*0.1335 = 0.2503
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Cheers,
Stan H.
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