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    Define a collection of events (FORMULA1), having the property that P(Ea)=1 for all a

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    Define a collection of events (FORMULA1), having the property that P(Ea)=1 for all a, but (FORMULA2)

    HINT: Let X be uniform over (0,1) and define each Ea in terms of X.

    (PLEASE SEE ATTACHMENT FOR COMPLETE QUESTION AND PROPER FORMULAS)

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    Solution. Let X be a random variable which follow a uniform ...

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