SOLUTION: suppose you have a 9 questions multiple choice test with 3 possible answers. also suppose you guess on each question. what would the probability of 0, 1, 2, 3,4,5,6,7,8,9, would be

Algebra ->  Probability-and-statistics -> SOLUTION: suppose you have a 9 questions multiple choice test with 3 possible answers. also suppose you guess on each question. what would the probability of 0, 1, 2, 3,4,5,6,7,8,9, would be      Log On


   



Question 385027: suppose you have a 9 questions multiple choice test with 3 possible answers. also suppose you guess on each question. what would the probability of 0, 1, 2, 3,4,5,6,7,8,9, would be?? round four decimals places
Answer by stanbon(75887) About Me  (Show Source):
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suppose you have a 9 questions multiple choice test with 3 possible answers. also suppose you guess on each question. what would the probability of 0, 1, 2, 3,4,5,6,7,8,9, would be?? round four decimals places
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Binomial Problem with n = 9 and p = 1/3
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If k is any one of those numbers you listed,
P(x = k) = 9Ck*(1/3)^k*(2/3)^(9-k)
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Example:
P(x = 3) = 9C3*(1/3)^3*(2/3)^6 = 0.2731

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cheers,
Stan H.