Question

find the constant c such that f(x) is a probability distribution function.

Answer 1

\[f(x)=\frac{ x^3 }{ 4}, 0<x <c\]

Answer 2

If I remember correctly you need to find c such that \[\int\limits_{0}^{c}\frac{x^3}{4} dx=1\]

Answer 3

thanks!