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June 15th, 2017, 02:36 PM   #1
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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|
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June 15th, 2017, 05:02 PM   #2
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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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