State which of the following are not the probability distributions of a random variable. Give reasons for your answer. Z 3 2 1 0 -1 P(Z) 0.3 0.2 0.4 0.1 0.05

Question

Philoid · Accepted Answer

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

As we know the sum of all the probabilities in a probability distribution of a random variable must be one.

Hence the sum of probabilities of given table = 0.3 + 0.2 + 0.4 + 0.1 + 0.05

= 1.05 ≠ 1

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

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.Z3210-1P(Z)0.30.20.40.10.05

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

Z

3

2

1

0

-1

P(Z)

0.3

0.2

0.4

0.1

0.05