The joint probability distribution function of *(X,Y)* is
denote by *f(x _{i},y_{i})*.

The concept of independent events extends to a similar definition for
independent random variables. Two random variables *X* and *Y* are said to be
independent if:

In simple terms, *X* and *Y* are independent if knowing the value of one does not
change the distribution of the other. Thus, if *X* and *Y* are independent, then:

It follows that if *X* and *Y* are independent, then:

Dependent variables may also be uncorrelated, if the relationship is non-linear, a u-curve for instance.

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