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by g.shankaran » Thu Jun 09, 2011 7:56 am
shipment | number of defective chips in the shipment | total number of chips in the shipment|
| | |
---------------------------------------------------------------------------------------------
s1 | 2 | 5000 |
s2 | 5 | 12000 |
s3 | 6 | 18000 |
s4 | 4 | 16000 |
-----------------------------------------------------------------------------------------------


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 is the expected number of defective chips in a shipment of 60,000 chips?

1. 14
2. 20
3. 22
4. 24
5. 25
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by cans » Thu Jun 09, 2011 8:00 am
total no. of defective chips = 2+5+6+4 = 17
Total no. of chips = (5+12+18+16)*1000 = 51000
ratio of defective to total = 17:51000 = 1:3000
thus out of 3000 chips 1 chip is defective
out of 60,000 chips, 1*60,000/3,000 = 20 chips defective.
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