- #1
sinned4789
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Homework Statement
find the characteristic equation of a binomial variable with pmf p(x) =[tex]\frac{n!}{(n-k)!k!}[/tex]*p[tex]^{k}[/tex]*(1-p)[tex]^{n-k}[/tex]
Homework Equations
characteristic equation
I(t) = [tex]\sum[/tex]p(x)*e[tex]^{tk}[/tex]
The Attempt at a Solution
I(t) = [tex]\sum[/tex][tex]\frac{n!}{(n-k)!k!}[/tex]*(p[tex]^{k}[/tex]*(1-p)[tex]^{-k}[/tex]*e[tex]^{tk}[/tex])*(1-p)[tex]^{n}[/tex]
i am stuck on this series because i don't know what to do with the combination term.