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 non-negative

Answer 1

P(X is non-negative)
= P(X = 0 or X = 1 or X = 2 or X = 3)
= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 0.20 + 0. 25 + 0.15 + 0.10 = 0.70