State which of the following are not the probability distributions of a random variable. Give reasons for your answer.

X

0

1

2

3

4

P(X)

0.4

0.5

0.2

-0.1

0.3

Question

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.X01234P(X)0.40.50.2-0.10.3

Philoid · Accepted Answer

Given: A given table with values for X and P(X).

As we see from the table that P(X) = -0.1 for X = 3.

It is known that probability of any observation must always be positive that it can’t be negative.

Hence, the given table is not the probability distributions of a random variable.

Y	-1	0	1
P(Y)	0.6	0.1	0.2