Consider the discrete probability distribution to the right

Consider the discrete probability distribution to the right when answering the following question. Find the probability that x equals 5

x

2

5

6

8

P (x)

0.16

?

0.3

0.21

Solution

The probability of the sample space S is equal to 1 i.e. (P(S) = 1).

P(X=5) = 1 - P(2)- P(6)- P(8) = 1 - 0.16 - 0.3 - 0.21 = 0.33