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प्रश्न
The probability density function of X is `f(x) = {(x, 0 < x < 1),(2 - x, 1 ≤ x ≤ 2),(0, "otherwise"):}`
Find P(0.2 ≤ X < 0.6)
उत्तर
P(0.2 ≤ X < 0.6) = `int_0.2^0.6 f(x) "d"x`
= `int_0.2^0.6 x "d"x`
= `[x^2/2]_0.2^0.6`
= 0.18 – 0.02
= 0.16
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