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Thread: determine the constant in continuous random variable

  1. #1
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    determine the constant in continuous random variable

    determine the constant in continuous random variable-dsc_0112.jpgdetermine the constant in continuous random variable-dsc_0113.jpgCan someone check thru my working? I cant find mymistake... The ans is b =4
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  2. #2
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    Re: determine the constant in continuous random variable

    you integrated wrong.


    $f(x)=\begin{cases}
    \sqrt{\dfrac{x-1}{12}}&1\leq x\leq b\\
    0&\mbox{else} \end{cases}$

    $\displaystyle{\int_1^b}f(x)~dx=1$

    $\displaystyle{\int_1^b}\sqrt{\dfrac{x-1}{12}}~dx=1$

    $\dfrac{(b-1)^{3/2}}{3\sqrt{3}}=1$

    $b=4$
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