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431概率简单数值题short

Geometric Survival Past a Threshold

题目

Let XGeom(1/4)X \sim \operatorname{Geom}(1/4) (number of trials until first success). Using the memoryless property of the geometric distribution, compute (i) E[XX>5]E[X \mid X > 5] and (ii) P(X>8X>5)P(X > 8 \mid X > 5).

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你的答案

i

ii