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Thread: Interpretation of probability density function - uniform distribution

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    Smile Interpretation of probability density function - uniform distribution




    Dear all,

    I'm having some problems in the interpretation of the probability density function. Until now I thought that f(x) for a continuous random variable was equal to the probability that X took a specific value in a tiny interval dx. But this interpretation is obviously wrong because in the case of the uniform distribution between 0 and 1, f(x) = 1, which according to my first interpretation is not possible. So how do we have to interpret specifically the probability density function?

    Thank you

  2. #2
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    Re: Interpretation of probability density function - uniform distribution


    Intuitively, the probability of X falling in the tiny interval between x and x+dx is f(x).dx. If f(x) = 1 then the probability of X falling between x and x+dx is 1.dx, which makes sense.

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