Question

Which of the following is/are required for the probability distribution of a discrete random variable X, with probabilities PlX = x) to be valid? 1. Os PCX=x)s 1 for all x 1. P(X=x) - 1 all ill. all x 20 I only Il only I and Il only ll, and I Il and ill only.

Answer 1

The probabilities in the probability distribution of a random variable X Should satisfy following two conditions.

1)The probability must be in between 0 to 1

so 1 is true

2)Sum of all probability are equal to 1

so 2 is also true

3) Experiment value (x) greater than 0

so 3 is also true

So finally all are true