(1)
x < 0时, F(x)=A, A必定等于0.
x=2时,
Cx-x^2 / 2 - 1 = 1
2C-2-1 = 1 => C = 2
x=1时,
Bx^2=Cx-x^2 / 2 - 1 = 2x - x^2 / 2 - 1
B = 2 - 1/2 - 1 = 1/2
(2)
密度函数f(x)为:
f(x) = 0, 当x < 0或x >= 2
x, 当0 <= x < 1
2-x, 当1 <= x < 2
(3)
P{1=< x < 3} =F(3)-F(1) = 1 - 1/2 = 1/2
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