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Calculus and Beyond Homework Help
If O is an event space, show for a finite number of events--
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[QUOTE="andrewkirk, post: 6046020, member: 265790"] Call the set described in red text ##B_k##. Now for ##k\in\{1,...,m\}## define ##D^m_k## to be the set of all ##k##-element subsets of ##\{1,...,m\}##. Then the set of all elements that are in ##k## [U]or more[/U] of the ##A_j## is $$F_k\triangleq \bigcup_{S\in D^m_k} \bigcap_{j\in S} A_j$$ Confirm this to yourself before proceeding. Then confirm that ##F_k\in O##. Then see if you can write ##B_k## as the result of a finite sequence of sigma-algebra-preserving operations on the ##F_k##. [/QUOTE]
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Calculus and Beyond Homework Help
If O is an event space, show for a finite number of events--
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