A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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23. Suppose (An) are events. (a) If for each k show (d) Show iff 8 n=k (b) What is the relevance to the Borel Zero-One Law? (c) Is it enough to assume n-l P(A₂A) = ∞, i=k P (lim sup An) = 1. 848 n=1 n-1 P(A₂A) = ∞o? i=1 P P (lim sup An) = 1 818 8 ΣP(AA,) = ∞o n=1 for all events A such that P(A) > 0.
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Transcribed Image Text:23. Suppose (An) are events. (a) If for each k show (d) Show iff 8 n=k (b) What is the relevance to the Borel Zero-One Law? (c) Is it enough to assume n-l P(A₂A) = ∞, i=k P (lim sup An) = 1. 848 n=1 n-1 P(A₂A) = ∞o? i=1 P P (lim sup An) = 1 818 8 ΣP(AA,) = ∞o n=1 for all events A such that P(A) > 0.
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