Q2. (a) Prove that if , and E, are segma algebras over X, then . Σ is a sigma algebra over X. (b) Is UE, a sigma algebra over X? Prove your answer.

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Q2.
(a) Prove that if E, and , are segma algebras over X,
then EnE, is a sigma algebra over X.
(b) ΣΣ.
Σ
a sigma algebra over X? Prove your answer.
Transcribed Image Text:Q2. (a) Prove that if E, and , are segma algebras over X, then EnE, is a sigma algebra over X. (b) ΣΣ. Σ a sigma algebra over X? Prove your answer.
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