# Math Help - Pareto distribution

1. ## Pareto distribution

Need help on the Pareto distribution, please. Thanks!

I can get the mean loss amount $\frac {\alpha\beta}{\alpha-1}$ but I don't understand how to get (ii) and (iii)

2. Originally Posted by cirrus74

Need help on the Pareto distribution, please. Thanks!

I can get the mean loss amount $\frac {\alpha\beta}{\alpha-1}$ but I don't understand how to get (ii) and (iii)
ii) $\bar{x}=\int_{\beta}^{\infty} x f_X(x) ~dx$

iii) ${\rm{var}}(X)=\int_{\beta}^{\infty} (x-\bar{x})^2 f_X(x) ~dx$

Both of which look like elementary integrals to me.

RonL