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    klc75's Avatar
    klc75 Posts: 3, Reputation: 1
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    #1

    Oct 30, 2010, 06:23 PM
    binomial distribution?
    several students take a multiple choice test with 10 questions. Each question has 5 possible answers, only 1 is correct. Find the mean and standard deviation for the number for correct answers for such students. I have n=10 but what is p and x?
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    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Oct 30, 2010, 11:19 PM

    You choose what is p and what is X.

    It goes as follows.

    Let X be the number of correct answers and p be the probability that a correct answer is obtained.

    Therefore,

    X ~ B(10, 0.2)

    Why 0.2? It's because you have 1 correct answer out of 5 choices, hence, we have a chance of 1 in 5 to get a correct answer or 1/5 = 0.2.

    We have to assume though that the students pick the answers randomly.

    Can you find the mean and standard deviation now? Post what you get! :)
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