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Math Help - Probability distribution in graph greater than 1: what does that mean?

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    Member ssadi's Avatar
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    Probability distribution in graph greater than 1: what does that mean?

    This is a question in my review exercise:

    I noticed that at x=1, probability=2. Now what does that actually mean? I cannot concieve a probability greater than one, and I have searched my book's examples in vain. Isn't probability supposed to be always lower than or equal to one? :help:
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by ssadi View Post
    This is a question in my review exercise:

    I noticed that at x=1, probability=2. Now what does that actually mean? I cannot concieve a probability greater than one, and I have searched my book's examples in vain. Isn't probability supposed to be always lower than or equal to one? :help:
    Go back and review continuous random variables and probability density functions.

    The fact that f(0) = 2 does NOT mean Pr(X = 0) = 2. In fact for a continuous random variables, Pr(X = a) = 0.

    What gets calculated is [tex]\Pr(a \leq X \leq b)[tex], which is given by \int_a^b f(x) \, dx.
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