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June 15th, 2017, 02:36 PM  #1 
Member Joined: Apr 2017 From: PA Posts: 45 Thanks: 0  Let X be a random variable with range [−1,1] and let fX(x) be the density function of
Let X be a random variable with range [−1,1] and let fX(x) be the density function of X. Find µ(X) and σ^2(X) if, for x < 1 (a) fX(x) = x 
June 15th, 2017, 05:02 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,540 Thanks: 591 
Basic definitions: density function f(x) moments: $\displaystyle m_n=\int x^nf(x)dx$ mean= $\displaystyle m_1$ variance $\displaystyle \sigma ^2=m_2m_1^2$ 

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−1, density, function, fxx, random, range, theory of probability, variable 
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