Answer to Question #226513 in Algorithms for hay

Question

(2) Let X denote a random variable model with density function given by

   

Compute the 

(i) expected value                   

(ii) standard deviation

Answer 1

Let the mean of X be $\mu$

So, for the desecrate random variable (mean) $=\mu = E(x)$

Hence, $E(x)=\Sigma xP(x)$

Variance of X,

Var(X)=$\sigma^2=\Sigma X^2P(X) -\mu^2$

Standard deviation $(\sigma)= \sqrt{Var(X)}$