题目

A computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments S1, S2, S3, and S4 combined, as shown in the table above. What’s the expected number of defective chips in a shipment of 60,000 chips?


选项

A.

14

B.

20

C.

22

D.

24

E.

25

解析

先列方程: \[ \frac{x}{60000} = \frac{2+5+6+4}{5000+12000+18000+16000} \implies x = 20 \] 或者: 在\(5000 + 12000 + 18000 + 16000 = 51000\)个芯片中,有\(2+5+6+4 = 17\)个缺陷芯片,即\(\frac{17}{51000} = \frac{1}{3000}\),也就是每3000个芯片中有1个缺陷芯片。 因此,60000个芯片的货件中,预计缺陷芯片数为\(\frac{60000}{3000} = 20\)。 答案:B
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