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Which of the following is a valid probability distribution? Question 1 options: P(0) = 0.8, P(1)...

Which of the following is a valid probability distribution?

Question 1 options:

P(0) = 0.8, P(1) = -0,2, P(2) = 0.4

P(0) = 0.3, P(-1) = 0,2, P(-2) = 0.7

P(0) = 0.3, P(-1) = 0,2, P(-2) = 0.5

P(0) = 0.3, P(1) = 0,2, P(2) = 0.3

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Homework Answers

Answer #1

Solution:

a) P(0) = 0.8, P(1) = -0.2, P(2) = 0.4

Is not valid probability distribution , because the probability corresponding to P(2) = -0.2 . Probability always lies between 0 and 1 . Probability never be negative.

b) P(0) = 0.3, P(-1) = 0.2 , P(-2) = 0.7

Is not valid probability distribution because the sum of probabilities is greater than one .

c) P( 0) = 0.3, P( -1) = 0.2, P( -2) = 0.5

Is valid probability distribution, because the sum of probabilities is one

d ) P(0) = 0.3, P( 1) = 0.2 , P( 2) = 0.3

Is not valid probability distribution because the sum of probabilities is less than one

P(0)= 0.3, P(-1) = 0.2, P( -2) = 0.5

Is a valid probability distribution.

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