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# How to find k, probability mass function?

### 1 Answer

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- davidLv 71 month ago
k/(2^x) . . . x = 1 to infinity

creates the series

k[ (1/2) + (1/4) + (1/8) + ... + (1/2^n)]

= = = = = looks like a geometric series, with r = 1/2

======= this is a PROBABILITY mass function .... so what is the sum of all probabilities equal to?? 1

/ / / k[ (1/2) + (1/4) + (1/8) + ... + (1/2^n)] = 1

/ / / or [ (1/2) + (1/4) + (1/8) + ... + (1/2^n)] = 1/k

/ / / what is the sum?? Geometric ... this sum = 1

1 = 1/k

k = 1

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