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**Solve the following : **

The following probability distribution of r.v. X

X=x |
-3 | -2 | -1 | 0 | 1 | 2 | 3 |

P(X=x) |
0.05 | 0.10 | 0.15 | 0.20 | 0.25 | 0.15 | 0.1 |

**Find the probability that**

**X is even**

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#### Solution

P (X is even)

= P (X = - 2)+ P (X = 0)+ P (X = 2)

= 0.10 + 0.20 + 0.15 = **0.45**

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