Question
Let (x) be the PDF and (x) be the CDF of a standard normal random variable, respectively. For the following integral, X, > 0 is
Let (x) be the PDF and (x) be the CDF of a standard normal random variable, respectively.
For the following integral, X, > 0 is constant.
X = integrate (x -) ^ 2 *(x)dx fromto + integrate (x +) ^ 2 *(x)dx from - to -.
Simplify the integral so that X is expressed only in terms of , (), and ().
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Linear Algebra and Its Applications
Authors: Gilbert Strang
4th edition
30105678, 30105676, 978-0030105678
