Question: I need help (a) (20 points) Let F be a sigma field on [0, 1], such that n+1, EF, for n = 1, 2, ...

I need help

(a) (20 points) Let F be a sigma field on [0, 1], such that n+1, EF, for n = 1, 2, ... . (i) Show that {0} is in F. For any n 2 1. (ii) is [0, _] in IF? (b) (5 points) Prove Benforroni's inequality: P(AnB) > P(A) + P(B) - 1

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