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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.
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
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