Question

Solve the following problem :

Following is the probability distribution of a r.v.X.

x	– 3	– 2	–1	0	1	2	3
P(X = x)	0.05	0.1	0.15	0.20	0.25	0.15	0.1

Find the probability that X is even.

Answer 1

P(X is even)
= P(X = –2 or X = 0 or X = 2)
= P(X = 2) + P(X = 0) + P(X = 2)
= 0.10 + 0.20 + 0.15 = 0.45