determine the required value of the missing probability to make the distribution a discrete probability…

determine the required value of the missing probability to make the distribution a discrete probability distribution.\np(4) = (type an integer or a decimal.)

determine the required value of the missing probability to make the distribution a discrete probability distribution.\np(4) = (type an integer or a decimal.)

Answer

Explanation:

Step1: Recall probability - distribution property

The sum of all probabilities in a discrete probability distribution is 1. Let (P(4)=x). Then (0.16 + x+0.31 + 0.25=1).

Step2: Solve for (x)

First, add the known probabilities: (0.16+0.31 + 0.25 = 0.72). Then, we have the equation (x+0.72 = 1). Subtract 0.72 from both sides: (x=1 - 0.72).

Answer:

(0.28)