- #1
ZellDincht100
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I have a random variable problem. I need to prove that my equation I came up with is a valid probability mass function.
In the problem, I came up with this for my probability mass function:
\Sigma 12/(k+4)(k+3)(k+2)
Maple says that this does in fact converge to 1, so it's valid; however...I can't use "Maple said so" as an answer.
My attempt was to break it up using partial fraction decomposition:
(6/(k+4)) - (12/(k+3)) + (6/(k+2))
I was hoping that this would be telescoping, but it is not. Does anyone have an idea on how I can prove that this converges to 1?
In the problem, I came up with this for my probability mass function:
\Sigma 12/(k+4)(k+3)(k+2)
Maple says that this does in fact converge to 1, so it's valid; however...I can't use "Maple said so" as an answer.
My attempt was to break it up using partial fraction decomposition:
(6/(k+4)) - (12/(k+3)) + (6/(k+2))
I was hoping that this would be telescoping, but it is not. Does anyone have an idea on how I can prove that this converges to 1?
