第三章二维随机变量及其分布第1节二维随机变量及其联合分布例3.1.1答案:21π,2π,2π详细讲解—见概率13-二维随机变量及其联合分布00:16:41例3.1.2答案:选C详细讲解—见概率13-二维随机变量及其联合分布00:25:28例3.1.3答案:()()21,0,1,0,0,0,0,0.xyXYexeyFxFyxy−−−>−>==≤≤详细讲解—见概率13-二维随机变量及其联合分布00:34:32第2节二维离散型随机变量例3.2.1答案:YX120292910492190详细讲解—见概率14-二维离散型随机变量00:09:05例3.2.2答案:(1)16;(2)()0,1,0,1,12,01,45,,12,1,127,2,01,121,2,1.xyxyFxyxyxyxy<<≤<≤<=≤<≥≥≤<≥≥(3)0,712详细讲解—见概率14-二维离散型随机变量00:17:37例3.2.3答案:(1)0.3,0.1;(2)0.7,0.4;(3)0.5详细讲解—见概率14-二维离散型随机变量00:27:58例3.2.4答案:0.3,详细讲解—见概率14-二维离散型随机变量00:39:50例3.2.5答案:选A详细讲解—见概率14-二维离散型随机变量00:42:15例3.2.6答案:(1)(2)详细讲解—见概率14-二维离散型随机变量00:53:57例3.2.7答案:(1)(2),XY不独立详细讲解—见概率14-二维离散型随机变量00:27:50第3节二维连续型随机变量1例3.3.1答案:(1)2;(2)()()()211,0,0,,0,0,0.xyeexyFxyxy−−−−>>=≤≤(3)23,2112ee−−+−详细讲解—见概率15-二维连续型随机变量100:11:25例3.3.2答案:(1)32;(2)25详细讲解—见概率15-二维连续型随机变量100:22:59X123P0.20.60.2Y1234P0.40.20.20.2YX0100.30.210.10.4|1XY=01P1323X012P0.30.40.3Y-101P0.160.50.34例3.3.3答案:()()26,01,0,Xxxxfx−≤≤=其他,()()6,01,0,.Yyyyfy−≤≤=其他详细讲解—见概率15-二维连续型随机变量100:35:17第4节二维连续型随机变量2例3.4.1答案:()|1,,01,|20,,YXxyxxfyxx−<<<<=其他()|1,1,10,11|,1,01,10,.XYyxyyfxyyxyy−<<−<≤+=<<<<−其他详细讲解—见概率16-二维连续型随机变量200:05:42例3.4.2答案:证明略详细讲解—见概率16-二维连续型随机变量200:18:55例3.4.3答案:11,28详细讲解—见概率16-二维连续型随机变量200:27:21例3.4.4答案:2µ详细讲解—见概率16-二维连续型随机变量200:44:20第5节二维随机变量函数的分布例3.5.1答案:(1)(2)(3)()max,ZXY=01P0.30.7ZXY=+-1012P0.10.30.40.2()min,ZXY=-101P0.20.60.2详细讲解—见概率17-二维...