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In: Statistics and Probability

Show that the cumulative distribution function for a random variable X with a geometric distribution is...

Show that the cumulative distribution function for a random variable X with a geometric distribution is

F(x) = 0 for x < 0,

F(x) = p for 0 <= x < 1,

and, in general, F(x)= 1 - (1-p)^n for n-1 <= x < n for n = 2,3,....

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