设连续型随机变量X的分布函数为F(x) kx2, 0 x 1 ,1, x 1求: (1)常数 k; (2) PvXv; (3)方差 DX.解:(1)由于连续型随机变量X的分布函数F(x)是连续函数,所以0, x 0lim F(x) lim F(x) 1 即 k=1,故 F(x) x2, 0 x 1x 1 x 11, x 1(2)P(0.3 X 0.7) P(0.3 X 0.7...
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