State which of the following are not the probability distributions of a random variable. Give reasons for your answer. (i) X 0 1 2 P (X) 0.4 0.4 0.2 (ii) X 0 1 2 3 4 P (X) 0.1 0.5 0.2 − 0.1 0.3 (iii) Y −1 0 1 P (Y) 0.6 0.1 0.2 (iv) Z 3 2 1 0 −1 P (Z) 0.3 0.2 0.4 0.1 0.05

State which of the following are not the probability distributions o

1.	State which of the following are not the probability distributions of a random variable. Give reasons for your answer. (i) X 0 1 2 P (X) 0.4 0.4 0.2 (ii) X 0 1 2 3 4 P (X) 0.1 0.5 0.2 − 0.1 0.3 (iii) Y −1 0 1 P (Y) 0.6 0.1 0.2 (iv) Z 3 2 1 0 −1 P (Z) 0.3 0.2 0.4 0.1 0.05
Answer» State which of the following are not the probability distributions of a random variable. Give reasons for your answer. (i) X 0 1 2 P (X) 0.4 0.4 0.2 (ii) X 0 1 2 3 4 P (X) 0.1 0.5 0.2 − 0.1 0.3 (iii) Y −1 0 1 P (Y) 0.6 0.1 0.2 (iv) Z 3 2 1 0 −1 P (Z) 0.3 0.2 0.4 0.1 0.05