Decide whether the following statements (I), (II), and (III) are True or False. (I) It is possible to have a random variable X with
P(X = 1) = 0.3, P(X = 4) = 0.3, and P(X = 7) = 0.5.

(II) It is possible to have a random variable X with
P(X > 1000) = 0.8 and P(X = 0) = 0.2.

(III) It is possible to have a random variable X with
P(X = 2) = 0.6 and P(X < 2) = 0.4.

(A) All Three Statements are True

(B) All Three Statements are False

(C) Exactly Two Statements are True and Exactly One Statement is False.

(D) Exactly One Statement is True and Exactly Two Statements are False.