Which of the following are valid probability distributions for a discrete random variable? Check all that apply.
A. 0.19, 0.19, 0.225, 0.231, 0.164
B. 0.34, 0.19, 0.20, 0.07, 0.16, 0.04
C. 0.17, 0.11, 0.03, 0.07, 0.23, 0.04, 0.16, 0.01, 0.18
D. (0.01) 11, (0.01) 12, (0.01) 13, ...
E. 0.14, -0.04, 0.28, 0.10, 0.13, 0.07, 0.13, 0.29, 0.34, -0.27, -0.22, 0.05

Question

Which of the following are valid probability distributions for a discrete random variable? Check all that apply.
  		A. 	0.19, 0.19, 0.225, 0.231, 0.164
  		B. 	0.34, 0.19, 0.20, 0.07, 0.16, 0.04
  		C. 	0.17, 0.11, 0.03, 0.07, 0.23, 0.04, 0.16, 0.01, 0.18
  		D. 	(0.01) 11, (0.01) 12, (0.01) 13, ...
  		E. 	0.14, -0.04, 0.28, 0.10, 0.13, 0.07, 0.13, 0.29, 0.34, -0.27, -0.22, 0.05

anonymous · Answer

A, B, C

D: It doesn't add up to 1 if you follow that pattern. You eventually get 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17 which adds up to 0.98 and if you add 0.18 it's greater than 1.
E: It adds up to 1 but negative probabilities. Nop