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In: Statistics and Probability

Let X Geom(p). For positive integers n, k define P(X = n + k | X...


Let X Geom(p). For positive integers n, k define
P(X = n + k | X > n) = P(X = n + k) / P(X > n) :
Show that P(X = n + k | X > n) = P(X = k) and then briefly argue, in words, why this is true for geometric random variables.

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