Background: a number, e.g. 2 , can be thought of as a trivial random variable that always takes the value 2 . Let x be a number.

Question

Let X be a random variable associated with some probabilistic experiment.

a) Is it always true that X+x is a random variable? Yes or No
b) Is it always true that X−x=0 ? Yes or no

Answer 1

a)yes
b)no