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i am wondering about probability density functions. i know the area under a pdf gives the probability of an event, but i am having a difficult time seeing this. specifically, given a pdf we have ##\int_a^b f(x) dx## as the probability of an occurrence from ##[a,b]##. what are the units of ##f(x)##? why exactly is ##f \times dx## the probability, rather than just ##f## itself?

please illustrate with a histogram if you can. thanks!

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# About pdf's (basic)

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