一家汽车厂与两家供应商 X 和 Y 签订合同购买减震器。X 供应 60%,Y 供应 40% 的减震器。所有减震器都经过质量测试。通过质量测试的那些被认为是可靠的。 X 的减震器中,96% 是可靠的。在 Y 的减震器中,72% 是可靠的。
Y 制造出一个随机选择的可靠的减震器的概率是
(一) 0.288
(乙) 0.334
(C) 0.667
(四) 0.720答案:(乙)
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