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Question
Construct cumulative distribution function for the given probability distribution.
| X | 0 | 1 | 2 | 3 |
| P(X = x) | 0.3 | 0. | 0.4 | 0.1 |
Solution
F(0) = P(x ≤ 0)
= p(0) = 0.3
F(1) = P(x ≤ 1)
= p(0) + p(1)
= 0.3 + 0.2
= 0.5
F(2) = P(x ≤ 2)
= P(0) + P(1) + P(2)
= 0.3 + 0.2 + 0.4
= 0.9
F(3) = P(x ≤ 3)
= P(0) + P(2) + P(3) + P(4)
= 0.3 + 0.2 + 0.4 + 0.1
= 1
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