Question: Let S be a sample space. (a) Show that the collection B = {,5} is a sigma algebra. (b) Let B = {all subsets of

Let S be a sample space.
(a) Show that the collection B = {ϕ,5} is a sigma algebra.
(b) Let B = {all subsets of S, including S itself). Show that B is a sigma algebra.
(c) Show that the intersection of two sigma algebras is a sigma algebra.

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