Question

June 17, 2021

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.

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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.

"Which of the following is a valid probability distribution?

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."

The probability of all the values must add up to then therefore each value have equal probability There are five outcomes and therefore the probability of 1 is 1/5

P(1) + P(2)+ P(3) + P(4) + P(5) + P(6) = 1

0.2 + 0.1 + 0.1 + 0.5 + 0.1 = 1.0

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