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 X P(X) 3 0.23 4 ? 5 0.37 6 0.16

Solution

Sum of all the probabilities of a probability distribution must be equal to 1. Let the missing value is c so

0.23+c+0.37+0.16=1

0.76+c=1

c=1-0.76=0.24