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Let C be a family of events in a sample space omega. Show that there always exists a smallest sigma-algebra of events FC which contains

Let C be a family of events in a sample space omega. Show that there always exists a smallest sigma-algebra of events FC which contains C. (By smallest, we mean here that FC is contained in all other sigma-algebras containing C.)

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f3. [5 pts] Let C be a family of events in a Sample space 9. Show that there always exists a smallmt car-algebra of ewmts E; which contains C. [By \"smallest\

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