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 distribution, 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:

• For distribution A, the sum is of 1.2, hence it is not valid.

• For distribution B, the sum is of 1.2, hence it is not valid.

• For distribution C, the sum is of 0.9, hence it is not valid.

• For distribution D, the sum is of 1, hence it is valid.

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

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