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Math Help - Confidence interval

  1. #1
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    Cool Confidence interval

    Could you please help me on the following problem?
    The number of hours for which an electronic device can retain information has a uniform distribution over the range [m -10, m +10], but the value of m is not known.
    (a) Show that the variance of the number of hours for which the device can retain the information is 100/3.
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  2. #2
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    Quote Originally Posted by Sashikala View Post
    Could you please help me on the following problem?
    The number of hours for which an electronic device can retain information has a uniform distribution over the range [m -10, m +10], but the value of m is not known.
    (a) Show that the variance of the number of hours for which the device can retain the information is 100/3.
    E(X) = \mu and E(X^2) = \mu^2 + \frac{100}{3}.

    Get these by integrating the pdf.
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  3. #3
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    Wink Confidence interval

    Thanks very much.
    I got the variance as follows:square(b-a)/12
    square[10-(-10)]/12 = 100/3
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