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Question
The probability density function of X is `f(x) = {(x, 0 < x < 1),(2 - x, 1 ≤ x ≤ 2),(0, "otherwise"):}`
Find P(1.2 ≤ X < 1.8)
Solution
P(1.2 ≤ X < 1.8) = `int_1.2^1.8 (2 - x) "d"x`
= `[2x - x^2/2]_1.2^1.8`
= 3.6 – 1.62 – 2.4 + 0.72
= 0.3
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