Let p be a positive constant. Suppose that a random variable X has probability function f(x)=cx(adsbygoogle = window.adsbygoogle || []).push({}); ^{p}(1-x) for 0≤x≤1. Find formulas for c, μ_{x}, and Var(X) in terms of p.

I know Var(X)=∫(x-μ_{x})^{2}f(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.

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# Center of Mass Word Problem

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