📜  门| GATE CS 2012 |第63章

📅  最后修改于: 2021-06-29 17:36:27             🧑  作者: Mango

一家汽车厂与两个供应商X和Y签订了购买减震器的合同。X提供60%的减震器,Y提供40%的减震器。所有减震器均经过质量测试。通过质量测试的被认为是可靠的。在X的减震器中,有96%是可靠的。在Y的减震器中,有72%是可靠的。

由Y得出的随机选择的减震器可靠的概率为
(A) 0.288
(B) 0.334
(丙) 0.667
(D) 0.720答案: (B)
解释:

Probability that the absorber is reliable = 0.96*0.6 + 0.72*0.4 
                                          = 0.576 + 0.288


Probability that  the absorber is from y and reliable = 
            (Probability that is made by Y)  X (Probability that it is reliable)
           = 0.4 * 0.72 
           = 0.288

The probability that randomly picked reliable absorber is from y = 
    (Probability that  the absorber is from y and reliable) / (>Probability that the absorber is reliable )
   = (0.288)/ (0.576 + 0.288) 
   =  0.334 

这个问题的测验