Question: Question. (Logistic Distribution). Consider the function given by f(x)=e -x (1+e -x ) 2 for < x < . Prove that f is a density

Question. (Logistic Distribution). Consider the function given by f(x)=e-x(1+e-x)2 for <x< . Prove that f is a density function.

I set f(x) 0 and +f(x)dx=1 and I got [((e-x+1)3 / 3) + C ] + = 1 but I don't know how to prove that f is a density function.

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