Question

线性代数问题，求帮助，谢谢

概率论。。最近学习头晕

Answer 1

A={任取一件零件来自甲}，B={任取一件零件来自乙}，C={任取一件零件是次品}
由题设，P(A)=0.4，P(B)=0.6，P(C|A)=0.01，P(C|B)=0.02
1）P(C)=P(C|A+B)=P(C(A+B))/P(A+B)=P(C(A+B))=P(CA)+P(CB)=P(A)*P(C|A)+P(B)*P(C|B)=0.4*.01+0.6*0.02=1.6%
2）P(B|C)=P(BC)/P(C)=P(B)*P(C|B)/P(C)=0.6*0.02/0.016=3/4