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设连续型随机变量X的概率密度函数为:φ(x){C/根号下1-x^2 |x|=1} 求常数C
人气:470 ℃ 时间:2019-10-19 21:07:50
解答
C∫ (-1,1) 1/SQRT(1-X^2) dx = C arcsin x(上限1,下限-1)
= C[arcsin(1) - arcsin(-1)] =
= C(π/2 - - π/2 ) = Cπ =1
C = 1 / π
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