# Probability Distribution

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Determine whether each of the following is a proper probability distribution. If it is not, why?

a. X 0 5 10 15 20

P(X) 1/4 1/2 1/3 -1/4 1/4

b. X 0 2 4 6

P(X) 1 1.5 0.3 0.2

c. X 1 2 3

P(X) 1/4 1/2 1/4

d. X -2 3 7

P(X) 0.5 0.8 -0.3

https://brainmass.com/statistics/probability/proper-probability-distribution-252450

#### Solution Preview

Determine whether each of the following is a proper probability distribution. If it is not, why?

a. X 0 5 10 15 20

P(X) 1/4 1/2 1/3 -1/4 1/4

b. X 0 2 4 6

P(X) 1 1.5 0.3 0.2

c. X 1 2 3

P(X) 1/4 1/2 ...

#### Solution Summary

The expert determines whether each of the following is a proper probability distribution and explains why some are not.

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