Continuous Distributions

If the random variable is continuous (takes on any value within a range) then its probability distribution is called its' probability density function or p.d.f. for short.
 
It is usually denoted by f(x)   { Here f(x) does NOT equal P(X=x) }
                { f(x) is the height of the curve on the graph of the p.d.f. }
 
So if we let variable X be 'a randomly picked value between 0 and 1'
 
            then the p.d.f. of X is...
 
           f(x) = 1     for  0 < x < 1