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Math Help - Continuous random variable with a probability density function

  1. #1
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    Continuous random variable with a probability density function

    A continuous random variable, X, has a probability density function defind by:
    f(x)= o.3e-0.3x, 0<x
    = 0 elsewhere

    Find:
    A) The mean of X
    A) The median of X
    A) The mode of X
    A) The variance of X
    A) The standard deviation of X

    I have no idea where to start; any help would be really appreciated.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Supernova View Post
    A continuous random variable, X, has a probability density function defind by:
    f(x)= o.3e-0.3x, 0<x
    = 0 elsewhere

    Find:
    A) The mean of X
    A) The median of X
    A) The mode of X
    A) The variance of X
    A) The standard deviation of X

    I have no idea where to start; any help would be really appreciated.
    Start with the definitions:

    Mean:

    \mu=\int_D x f(x)\; dx

    where  D is the domain of  f(x)

    Median is the solution to:

    \displaymode \int_{-\infty}^x  f(\xi)\; d\xi=0.5

    etc.

    CB
    Last edited by CaptainBlack; September 3rd 2010 at 11:07 PM.
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