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(Solved): The normal distribution is given as N(x;a,b)=(1)/(\sqrt(2\pi b))e^(-((x-a)^(2))/(2b^(2))) Calculate ...



The normal distribution is given as

N(x;a,b)=(1)/(\sqrt(2\pi b))e^(-((x-a)^(2))/(2b^(2)))

Calculate the expectation value

\mu =\int_(-\infty )^(\infty ) xN(x;a,b)dx

and the variance

\sigma ^(2)=\int_(-\infty )^(\infty ) (x-\mu )^(2)N(x;a,b)dx


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