Let S be the sample space of an experiment Y be a rv defined

Let S be the sample space of an experiment, Y be a r.v. defined for the experiment, and W be the support of Y.

The domain of a function is the set of values no which the function is defined.

A) Which of the following is the domain of the function Y and why

i. S
ii. W
iii the set of real numbers

Solution

i. S is the domain of the function Y because S is the sample space of the experiment on which the function Y is defined.