1. (a) Let X → R be a random variable such that X = 0, i.e. for any w € , X(w) = 0. Prove that o(X) = {0, N}. := : (b) Let G = {0, 22}, and X → R be G-measurable. Prove that X = c for some constant c E R.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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1. (a) Let X
→ R be a random variable such that X = 0, i.e. for any w E,
X(w) = 0. Prove that o(X) = {0, №2}.
:=
(b) Let G = {0, 22}, and X → R be G-measurable. Prove that X = c for some
constant c E R.
Transcribed Image Text:1. (a) Let X → R be a random variable such that X = 0, i.e. for any w E, X(w) = 0. Prove that o(X) = {0, №2}. := (b) Let G = {0, 22}, and X → R be G-measurable. Prove that X = c for some constant c E R.
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