# Solve the following problem : Following is the probability distribution of a r.v.X.Find the probability that X is even. - Mathematics and Statistics

Sum

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 0.2 0.25 0.15 0.1

Find the probability that X is even.

#### Solution

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

Concept: Random Variables and Its Probability Distributions
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