Prove Theorem 5.5.5. Memory less Property of Geometric Distributions. Let X have the geometric distribution with parameter

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Prove Theorem 5.5.5.
Memory less Property of Geometric Distributions. Let X have the geometric distribution with parameter p, and let k ≥ 0. Then for every integer t ≥ 0,
Pr(X = k + t |X ≥ k) = Pr(X = t).
Distribution
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Probability And Statistics

ISBN: 9780321500465

4th Edition

Authors: Morris H. DeGroot, Mark J. Schervish

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