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.
Expert Answer
The probability distribution D, is the valid probability distribution. Probability distribution that is valid must add up to 1 and be between 0 and 1 where 1 is included. The 0.2, for 1, 0.1 for 2, 0.1 for 3. 0.5 for and 0.1 for, adding them up 0.2+0.1+0.1+0.5+0.1 =1.