Let X be a real valuedrandom variable de?ned on a probability space (,F, P). Fil

Question

Let X be a real valuedrandom variable de?ned on a probability space
(,F, P). Fill in the following blanks:

If S is a subset of _____,then {X S} is a subset of___________________.
If S is a subset of _______,then {X S} must be an element of_____________. Thanks :) Let X be a real valuedrandom variable de?ned on a probability space
(,F, P). Fill in the following blanks:

If S is a subset of _____,then {X S} is a subset of___________________.
If S is a subset of _______,then {X S} must be an element of_____________. Thanks :) Thanks :)

Explanation / Answer

If S is a subset ofA,then {X S} is asubset of A (because S = {X S}). If S is a subset ofA,then {X S}must be an element of 2A (thepower set of A, i.e. the set of all subsets ofA).

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