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Given the function:

[tex]P_{k} = \frac{20}{5^{k}}[/tex] for [tex]k \geq 2[/tex]

How would you prove that P is a probability distribution? I would think that you prove that P is bounded by 0 and 1 (i.e., [tex]0 \leq \Sigma P_{k} \geq 1[/tex])

And I guess the leading question is how you would prove that a function is not a probability distribution?

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# Proving if a function is a valid probability distribution

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