- #1
exitwound
- 292
- 1
Homework Statement
Find the moment generating of:
[tex]f(x)=.15e^{-.15x}[/tex]
Homework Equations
[tex]M_x(t)= \int_{-\infty}^{\infty}{e^{tx}f(x)dx}[/tex]
The Attempt at a Solution
I get down to the point (if I've done my calculus correctly) and gotten:
[tex]\frac{.15e^{(t-.15)x}}{t-.15} \Bigr| _{0}^{\infty}[/tex]
and I don't know how to evaulate this. Am I right this far? And if I am, how does this equate to the answer in the back of the book:
[tex]\frac{.15}{.15-t}[/tex]