6. Define a collection of events E a , 0 < a < 1, having the property...

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6. Define a collection of events Ea, 0 < a < 1, having the property that P(Ea) = 1 for all

a, but P(∩Ea) = 0.

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

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