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Math Help - Comulative distribution

  1. #1
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    Comulative distribution

    Given the following comulative propability distribution:

    0 if x less than zero
    x/2 if x between 0 and 1
    1-(1/(2x)^2) if x greater than one.
    what's the probability P(X=1)? isn't it zero since a continuous variable don't have probability in a single point? cause my book says it's 1/4 and I'm confused about it... probably I'm mistaken...don't know
    Last edited by Mppl; January 26th 2011 at 08:09 AM.
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  2. #2
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    Quote Originally Posted by Mppl View Post
    Given the following comulative propability distribution:
    0 if x less than zero
    x/2 if x between 0 and 1
    1-(1/(2x)^2) if x greater than zero.
    what's the probability P(X=1)? isn't it zero since a continuous variable don't have probability in a single point? cause my book says it's 1/4 and I'm confused about it... probably I'm mistaken...don't know
    See the red above.
    That is surely a mistake. It should be one.

    Now the P(X=1)=\frac{1}{4} because there 'jump' of that amount in the CDF at x=1.
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  3. #3
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    ok got it now. Yes it was a mistake indeed. Thanks for the help
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