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Thread: density function

  1. #1
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    density function

    f(t)={ $\displaystyle 0 $ for t<0.5
    $\displaystyle ke^-2(t-0.5)$ for 0.5<t

    how can I find k.
    (is it by integrating)
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  2. #2
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    Quote Originally Posted by Sally_Math View Post
    f(t)={ $\displaystyle 0 $ for t<0.5
    $\displaystyle ke^-2(t-0.5)$ for 0.5<t

    how can I find k.
    (is it by integrating)
    are you speaking of a probability density function? , and ...

    for $\displaystyle t \geq 0.5$ , is the function $\displaystyle f(t) = ke^{-2(t-0.5)}$ ?

    if so ...

    $\displaystyle \int_{0.5}^{\infty} ke^{-2(t-0.5)} \, dt = 1$

    solve for k.
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