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प्रश्न
If X is the random variable with distribution function F(x) given by,
F(x) = `{{:(0",", - oo < x < 0),(1/2(x^2 + x)",", 0 ≤ x ≤ 1),(1",", 1 ≤ x < oo):}`
then find the probability density function f(x)
उत्तर
F'(x) = `{{:(0",", x < 0),(1/2(2x + 1)",", 0 ≤ x < 1),(0",", x ≥ 1):}`
∴ F(x) = `{{:(x + 1/2",", 0 ≤ x < 1),(0",", "otherwise"):}`
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