SOLUTION: Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construc

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Question 286759: Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construct a probability distribution table for the possible outcomes.
Answer by stanbon(75887) About Me  (Show Source):
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Suppose a student taking a multiple choice test has to guess on three answers. Assume there are five choices for each question (a, b, c, d, e) with only one being correct. Construct a probability distribution table for the possible outcomes.
Binomial Problem with n = 3 ; p = 1/5 ; q = 4/5
P(x=0)= 3C0(1/5)^0(4/5)^3 = 0.512
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P(x=1)=3C1(1/5)^1(4/5)2) = 0.384
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P(x=2)=3C2(1/5)^2(4/5) = 0.096
etc.
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Cheers,
Stan H.