Question

What must be the value of the probability of each random variable?
A. P(X) ≥ 0
B. 0 ≤ P(X) ≤ 1
C. -1 ≤ P(X) ≤ 1
D. P(X) ≤ 1

Answer 1

Answer:

B

Step-by-step explanation:

The probability of an impossible event is 0 and the probability of a certain event is 1. The range of possible probabilities is: 0 ≤ P(X) ≤ 1 . It is not possible to have a probability less than 0 or greater than 1.

Answer 2

Answer:

B. 0 ≤ P(X) ≤ 1

Explanation:

P(X) ≥ 0 will never be the probability of each random variable because   probability can never be more than 1, probability lies between 0 and 1.

0 ≤ P(X) ≤ 1 will be the probability of each random variable because probability lies between 0 and 1. probability 0 means that the event will not happen and probability 1 means that the event will happen.

-1 ≤ P(X) ≤ 1 will never be the probability of each random variable because probability can never be negative. it lies between 0 and 1.

P(X) ≤ 1  will never be the probability of each random variable because probability can never be negative. it lies between 0 and 1.

so, 0 ≤ P(X) ≤ 1 will be the probability of each random variable.