1、 1f(x)dx圖7.1 連續隨機變數之機率分配1)(0 xfwwxf1)(00)(xf 1)(dxxf其他,01x0,x2)x(f101xxdx21x00)x(f102當F(x)P(Xx)f(t)dtxf(x)dxxE(x)f(x)dxE(X)xVar(x)232013x2dxx2xdx2xdx)x(fx)X(E310210其他,01x0,x2)x(f21014x2 dxx2 dx)x(fx)X(E41031022 1813221)X(E)X(E)X(Var222222xe21f(x)x0 x2z2e21f(z)z6826.03413.03413.0)10()01()11(ZPZPZP954
2、4.04772.04772.0)20()02()22(ZPZPZP(33)(30)(03)0.4986 0.49860.9974PZPZPZ 2358.02642.05.0)72.0Z0(P)0Z(P)72.0Z(P312.02642.00478.0)72.0Z0(P)12.0Z0(P)72.0Z0(P)0Z12.0(P)72.0Z12.0(P2164.00478.02642.0)12.0Z0(P)72.0Z0(P)72.0Z12.0(P)bXaP(b)XP(a)bZaP(XZ325500675500(325675)()100100(1.751.75)XPXPPZ9198.04599.0459
3、9.0)75.1Z0(P)75.1Z0(P)75.10()075.1(ZPZP15.0)100500aZ0(P5.0)100500aZ(P)100500a100500X(P)aX(P35.0)100500aZ0(P6041001.04500a ,04.1100500a)5.055.05()5(YPXP04186.0)5.0(!30!20!5050 50502030205020)5.0(5.05.0)20(CCXP)27.156.1(5.12255.0205.12255.0205.0205.020)20(ZPZPYPXP0426.03980.04406.0)27.10()56.10(ZPZP)5.12,25(NY5np 5)p1(n(1.271.27)2(01.27)20.39800.796PZPZ5.12255.030Z5.12255.020P5.030Y5.020P)30X20(P
