Question

Which of the following is a valid probability distribution? Probability distribution A is shown. The probabilities of 1, 2, 3, 4, 5 and 6 are all 0. 2. Probability distribution B is shown. The probability of 1 is 0. 1; 2 is 0. 2; 3 is 0. 3; 4 is 0. 3; 5 is 0. 2; 6 is 0. 1. Probability distribution C is shown. The probability of 1 is 0. 1; 2 is 0. 2; 3 is 0. 4; 5 is 0. 1; 6 is 0. 1. Probability distribution D is shown. The probability of 1 is 0. 2; 2 is 0. 1; 3 is 0. 1; 4 is 0. 5; 5 is 0. 1.

Answer 1

The probabilities must add up to 1.

A : 0.2 + 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1.2 ≠ 1

B : 0.1 + 0.2 + 0.3 + 0.3 + 0.2 + 0.1 = 1.2 ≠ 1

C : 0.1 + 0.2 + 0.4 + 0.1 + 0.1 = 0.9 ≠ 1

D : 0.2 + 0.1 + 0.1 + 0.5 + 0.1 = 1