A discrete random variable x had four possible values. The probabilities for three of the values are 0.24, 0.15, and 0.3. The probability of the remaining value is a) 0.31 b) 0.4 c) cannot be determined d) 0.22

Probability Distribution:

It is a statistical function describing all the outcomes and the likelihood that a random variable can take within the given range. It gives the probability of the outcomes of the random variable.

Condition for Probability Distribution:

There are two conditions for a distribution to be a probability distribution. They are

• The probability of each outcome of the random variable should be in the range of 0 and1. That is $\mathbf{0}\mathbf{\le }\mathit{P}\mathbf{\left(}\mathit{X}\mathbf{\right)}\mathbf{\le }\mathbf{1}\mathbf{.}$
• The sum of all the probability of the random variable should be equal to 1. That is $\mathbf{\sum }_{}^{}\mathit{P}\mathbf{\left(}\mathit{X}\mathbf{\right)}\mathbf{=}\mathbf{1}\mathbf{.}$