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Math Help - probability distribution function

  1. #1
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    Talking probability distribution function

    Calculate the probability distribution function for the following density function

    the answer is:

    but I did not realize how the constant factor = -1 has been calculated please help thanks
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  2. #2
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    Re: probability distribution function

    Quote Originally Posted by mhhjti View Post
    Calculate the probability distribution function for the following density function

    the answer is:

    but I did not realize how the constant factor = -1 has been calculated please help thanks
    I do not know exactly what you are asking for!
    But do you realize that this must be true:
    \lim _{t \to 1^ -  } F_X (t) = \lim _{t \to 1^ +  } F_X (t)
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  3. #3
    MHF Contributor harish21's Avatar
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    Re: probability distribution function

    Quote Originally Posted by mhhjti View Post
    Calculate the probability distribution function for the following density function

    the answer is:

    but I did not realize how the constant factor = -1 has been calculated please help thanks
    I think you have wrote the starting line of your question incorrectly.. You already have the probability distribution function f_X(x) and you are supposed to find the cumulative distribution function F_X(x). Looks like you have written the opposite.

    please look at how you can find the cumulative distribution function of a random variable . You have to integrate the pdf over ...... region
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  4. #4
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    Re: probability distribution function

    Quote Originally Posted by harish21 View Post
    I think you have wrote the starting line of your question incorrectly.. You already have the probability distribution function f_X(x) and you are supposed to find the cumulative distribution function F_X(x). Looks like you have written the opposite.
    Actually the OP is correct. S/he just used the wrong word.
    You are correct most do use pdf & CDF. But the method is correct.
    S/he simply was confused about the accumulation from the first integral.
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