Question: Hello, kindly provide detailed proof and analysis. Please make it clear. This is a probability theory class (graduate level class). Thank you! 4. Consider the

Hello, kindly provide detailed proof and analysis. Please make it clear. This is a probability theory class (graduate level class). Thank you!

4. Consider the smallest aeld of subsets of R that contains all open intervals. Show that it also contains all closed intervals. Conclude that if (9,15, P) is a probability space and X : 9 > R is a function such that {w E Q|X(w)

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