My Math Forum Let X be a random variable with range [−1,1] and let fX(x) be the density function of

 June 15th, 2017, 02:36 PM #1 Member   Joined: Apr 2017 From: PA Posts: 43 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: 6,307 Thanks: 526 Basic definitions: density function f(x) moments: $\displaystyle m_n=\int x^nf(x)dx$ mean= $\displaystyle m_1$ variance $\displaystyle \sigma ^2=m_2-m_1^2$

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