Let N = R and F be the o-algebra generated by A = Q (i.e., F = o ({Q})).(a) Write explicitly all the sets belonging to F.(b) Characterize all the mappings X : 2 → R that are random variables with respect to (2, F)

It is given that Ω=ℝ, and F is the σ-algebra generated by A=Q.

Answered: Let 2 = R and F be the o-algebra…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.1: Orthogonality In Rn

Problem 37EQ

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Let 2 = R and F be the o-algebra generated by A = Q (i.e., F = o({Q})). (a) Write explicitly all the sets belonging to F. (b) Characterize all the mappings X : 2 R that are random variables with respect to (2, F)