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1、概率统计练习题参考答案第1章1.7/152.(1)1/3;(2)8/153.(1)15/28;(2)15/324.25/915.2/56.2/1057.1/100058.3/449.49/19010.37/16911.cb12.16/3513.提示:利用加法公式及减法公式14.1c;1cab15.(1)0.06;(2)0.34;(3)0.6;(4)0.04;(5)33/3516.3/417.1/418.1/419.1/420.1013/115221.1/222.(1)23/25;(2)15/2323.0.1
2、75;0.230324.乙厂,概率为7/1925.0.16;·的可能性最大,为0.7526.0.64527.(1)0.9633;(2)0.5479,0.452128.0.997929.0.192730.第2组,0.368431.14/25;5/1432.(1)0.106;(2)不能,概率为0.188733.196/19734.441/302535.(1)4/9;(2)3/8,1/4,3/8322236.p2(p)p1(p)(2p)37.0.608738.0.0038,略39.0.19391第2章21.A1,
3、1e1112.(1)A,B;(2)2313.2,0x1,2.01x2,4.02x34.F(x),6.03x4,8.04x5,1x51x,0x25.(1)A;(2)0.98;(3)f(x)2,0其他,0x111arcsinx16.(1)A;(2);(3)F(x),1x132,1x1,0x01127.(1)A;(2)F(x)1(cosx),0x;(3)224,1x11118.(1)A
4、,B;(2);(3)f(x)2221(x)2x12a9.(1)提示:验证概率密度的两条性质;(2)F(x)1e,x0;(3)1e2a,0x0xe1,x0111210.(1)A;(2);(3)F(x)222exe,x022,0x0.00102,0x1.00870,1x2kk5k11.P(Xk)C56.04.0,k,1,05,;F(x).03174,2x3.06630,3x4.09222,4x5,1x5
5、k30kCC519512.(1)P(Xk),k,1,05,;30C200k30kk5195(2)P(Xk)C30,k,1,05,20020013.3;0.242814.57.975,60.6315.0.216.(1)0.0642;(2)0.00917.X1234P37/6419/647/641/64,0x137/64,1x2F(x)56/64,2x363/64,3x4,1x418.0.953319.(1)0.9270;(2)3.29a
6、20.(1)2(a)1;(2)121.Y-1031P0.20.40.4Y1352P0.350.350.322.Y01/41/23/41P0.20.330.240.10.1332133y,0ya23.fY(y)3a,0其他24.X2345P10/135/265/1431/286,0x210/13,2x3F(x)25/26,3x4285/286,4x5,1x5ye,y025.fY(y),0y01a,y026.fY(y)
7、(ay)y,0y01a,y027.fY(y)(ay)y,0y02,0y1228.fY(y)1y,0其他2,0y1229.fY(y)1y,0其他1y1e3,13lnby13lna30.fY(y)(3ba),0其他4第3章11.(1)pP(Xi,Yj),i;4,3,2,11ji;ij4i111(2)piP(Xi),i4,3,2,1;pjP(Yj),j4,3,2,144ji4i2.Y02X01
8、/41/421/41/4,0x0或y0.025,0x0,2y2F(x,y),5.00x,2y2,5.00y,2x2,1x,2y23.Y01piX11/91/181/625/95/185/6p2/31/31j2xy5412e,x0e,y04.(1)A2;(2)eee1;