# Math Help - Moment generating function question #2

1. ## Moment generating function question #2

An actuary determines that the claim size for a certain class of accidents is a random variable, X, with moment generating function MX(t) =1/(1 -2500t)^4.

Determine the standard deviation of the claim size for this class of accidents.

2. Standard Deviation = $\sqrt{Var(x)}$

Var(x) = $E(x^2) - E(x)^2$

$E(x) = M'(0)$

$E(x^2) = M''(0)$