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Math Help - Probability Density Function(PDF) Question

  1. #1
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    Red face Probability Density Function(PDF) Question

    Consider the probability density function(pdf)

    p(x)={3/4(1-x^2) if |x|< or = 1
    0 otherwise

    which random variable X follows.Find the probability that 0</=X</=1/2?


    Will someone be kind enough to give me the full workings with explanation so I can study the solution for tomorrow's test.
    Last edited by mr fantastic; January 6th 2009 at 05:50 PM. Reason: Corrected a typo in the pdf
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  2. #2
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    Can you do the basic calculus?
    \int_0^{\frac{1}<br />
{2}} {\frac{{3\left( {1 - x^{2} } \right)}}<br />
{4}dx}  = ?
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