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Q47Section C (Section C)47 of 60

Conditional probability for telescoping pmf

Let the probability mass function of a random variable XX be given by P(X=n)=k(n−1)n,n=2,3,…,P(X=n) = \frac{k}{(n-1)n},\quad n=2, 3, \dots, where kk is a positive constant. Then, P(X≥17∣X≥5)P(X\ge 17 \mid X\ge 5) equals __________

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