Determine the required value of the missing probability to m

Determine the required value of the missing probability to make the distribution a discrete probability distribution. P(4) =

Solution

Probability density function is the one which satisfies following 2 conditions:

1) All probabilities are between 0 and 1

2) Total of all probabilities is equal to 1.

Let missing number be x,

0.28+x+0.37+0.11 = 1

0.76+x = 1

x = 1-0.76

x = 0.24

Hence missing probability wth respect to 4 is 0.24