- #1
stevenham
- 8
- 0
Homework Statement
Suppose P(Xn = i) = [itex]\frac{n+i}{3n+6}[/itex], for i=1,2,3.
Find the limiting distribution of Xn
Homework Equations
The Attempt at a Solution
I first found the MGF by Expectation(etx)
which resulted in etx([itex]\frac{n+1}{3n+6}[/itex] + [itex]\frac{n+2}{3n+6}[/itex] + [itex]\frac{n+3}{3n+6}[/itex])
I then took the limit as n[itex]\rightarrow[/itex] ∞ which gives me 2etx
Did I do this problem correctly? Is that the limiting distribution of Xn?
Thanks.