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Math Help - Continuous uniform dist. question

  1. #1
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    Continuous uniform dist. question

    I'm not sure how to tackle this question... Any help would be most grateful:

    A computer generates independent random numbers from the continuous uniform distribution over the range [0,1]. In a sample of 9 such numbers what is the probability that exactly 2 are less that 0.33 ?

    Thanks, Felix
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  2. #2
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    Re: Continuous uniform dist. question

    Quote Originally Posted by FelixHelix View Post
    A computer generates independent random numbers from the continuous uniform distribution over the range [0,1]. In a sample of 9 such numbers what is the probability that exactly 2 are less that 0.33 ?
    The probability that any one of the nine is less than .33 is \frac{.33-0}{1-0}=0.33.
    So what about exactly two? HINT: binomial.
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  3. #3
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    Re: Continuous uniform dist. question

    So it would be:

    (9 Choose 2)* (0.33)^2 * (0.67)^7 = 0.2376
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