Let p be a positive constant. Suppose that a random variable X has probability function f(x)=cxp(1-x) for 0≤x≤1. Find formulas for c, μx, and Var(X) in terms of p. I know Var(X)=∫(x-μx)2f(x)dx I know that I did not show any work so please just give me a hint (I'm not asking you to solve it for me). Thanks and I would have provided work if I even had a guess on where to start. P.S. I'm kind of confused why this is at the end of the center of mass chapter since I totally understood everything up to this problem.