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Competitive Stats
Q13Section I (Objective (Q1–Q80))13 of 80

Probability — series identity connecting a pgf to the cdf

If random variable X assumes non negative integral values and P(s)=E(sX)P(s) = E(s^{X}), then what is the value of ∑n=0∞s2n P(X≤n)\sum_{n=0}^{\infty} s^{2n}\,P(X \le n)?

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