Can you please help me with this question?
Is the set finite, countably infinite, or uncountable?
a. The set of all real-valued random variables on a finite sample space.
b. The set of all integer-valued random variables defined on the sample space $W$ of positive integers, with $\operatorname{Pr}[w] = 1/(2^w)$
c. The set of all integer-valued random variables on a finite sample space.
d. The set of all possible functions from $\mathbb{Z}_{97}$ to $\mathbb{Z}_{97}$ (modulo 97).
e. $\mathbb{Z}^3 = \{(a,b,c): a,b,c \in \mathbb{Z}\}$ (the set of triples of integers)