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Math Help - Given a PDF function, find the CDF! exam tomorrow! please give descriptive answers!

  1. #1
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    Question Given a PDF function, find the CDF! exam tomorrow! please give descriptive answers!

    Probability density function (PDF) is given by the expression fx(x)=ae-b|x|. Here X is a random variable whose values lie in the range x=-infinity to +infinity. Determine the following
    a) The relationship in between a & b.
    b) Cumulative density function (CDF)
    c) The probability that outcome lies between 1 & 2.
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  2. #2
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    Re: Given a PDF function, find the CDF! exam tomorrow! please give descriptive answer

    1)for the relationship between a&b, you need to integrate the density from -infinity to +infinity and set that equal to 1. then using that answer, you can establish a relationship between a&b that ensure that fx(x) is a valid density.
    2) for the cdf, you just integrate this \int_{-\infty}^{x}ae^{-b|u|}du
    3) for this, you should use \int_{1}^{2}ae^{-b|x|}dx

    being able to do this question requires understanding of basic integration
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