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

Considering the given probability distributions, distribution D is valid.

When a probability distribution is valid?

A probability distribution is valid if:

• There are no negative probabilities.

• The sum of all probabilities is of 1.

In this problem, only distribution D has a sum of 1, hence it is the only valid distribution.

More can be learned about probability distributions at brainly.com/question/23670007

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