# Question: If X is a geometric random variable show analytically that P X

If X is a geometric random variable, show analytically that

P{X = n + k|X > n} = P{X = k}

Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true.

P{X = n + k|X > n} = P{X = k}

Using the interpretation of a geometric random variable, give a verbal argument as to why the preceding equation is true.

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