Which of the following statements are correct ?

(A) A random variable is a real valued function whose domain is the sample space of a random experiment.

(B) A die is tossed twice if x denotes the number of times 4 appears on the die then all possible values of random variable x are 0 and 1

(C) mathematical expectation value is a parameter and not a statistic

(D)

is the probability distribution of a random variable

Choose the correct answer from the options given below :

(A) and (C) only

The correct answer is Option (2) → (A) and (C) only

(A) A random variable assign real values to the outcomes of a random experiment.

(C) The mathematical expectation $E(X)$ is generally considered a parameter because it describe a property of probability distribution.