- #1
sebastian616
- 1
- 0
Homework Statement
find <x>, <[tex]x^{2}[/tex]> and [tex]\sigma[/tex] of the probability distribution;
[tex]\rho(x)[/tex] = [tex]\sqrt{\frac{\lambda}{\pi}}e[/tex][tex]^{-\lambda(x-a)^{2}}[/tex]
Homework Equations
As shown above
The Attempt at a Solution
I know that I can simply take the mean value (a) and the standard deviation(1/2[tex]\sigma[/tex]) from the fact that this equation is a gaussian, however wanted to know if there was a more rigorous method of calculating these figures than just saying what it is from the gaussian distribution.