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10 Jun 2006, 15:56
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shipment # of defective chips # of total chips
s1 2 5,000
s2 5 12,000
s3 6 18,000
s4 4 16,000
A chip manufacturer expects the ratio of the number of defective chips to
the total number of defective chips in all future shipments to equal the corresponding ratio for s1, s2, s3, s4 combined. What is the expected number of defective chips in the shipment of 60,000 chips?
Please help! This problem took me 3 minutes...not fast enough! Is there a quick way to turn this around????
s1 2 5,000
s2 5 12,000
s3 6 18,000
s4 4 16,000
A chip manufacturer expects the ratio of the number of defective chips to
the total number of defective chips in all future shipments to equal the corresponding ratio for s1, s2, s3, s4 combined. What is the expected number of defective chips in the shipment of 60,000 chips?
Please help! This problem took me 3 minutes...not fast enough! Is there a quick way to turn this around????
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10 Jun 2006, 17:54
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[quote="kuristar"]shipment # of defective chips # of total chips
s1 2 5,000
s2 5 12,000
s3 6 18,000
s4 4 16,000
A chip manufacturer expects the ratio of the number of defective chips to
the total number of defective chips in all future shipments to equal the corresponding ratio for s1, s2, s3, s4 combined. What is the expected number of defective chips in the shipment of 60,000 chips?
Please help! This problem took me 3 minutes...not fast enough! Is there a quick way to turn this around????[/quote]
You calculate corresponding ratio for s1, s2, s3, s4 combined as
(2/5+5/12+6/18+4/16)/4=(24/60+25/60+20/60+15/60)/4=21/60
So the answer must be 21 chips expected to be defective in the Shm of 60,000
s1 2 5,000
s2 5 12,000
s3 6 18,000
s4 4 16,000
A chip manufacturer expects the ratio of the number of defective chips to
the total number of defective chips in all future shipments to equal the corresponding ratio for s1, s2, s3, s4 combined. What is the expected number of defective chips in the shipment of 60,000 chips?
Please help! This problem took me 3 minutes...not fast enough! Is there a quick way to turn this around????[/quote]
You calculate corresponding ratio for s1, s2, s3, s4 combined as
(2/5+5/12+6/18+4/16)/4=(24/60+25/60+20/60+15/60)/4=21/60
So the answer must be 21 chips expected to be defective in the Shm of 60,000
