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Math problem 2

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rohtarantula
 
Reply Sun 26 Jul, 2009 11:28 am
Two controlled machines are designed to test the circuits, one on the frequency switching reflecting 2% defective chips and the other on the operation of semiconductor junctions made it appear that 8% of defective chips. If one draws a random circuit. Be the probability that it has 2 defects and the probability it has at least one of the two defects. You will give the results to 3 significant figures in percentage in the form X. XX%-x.xx%
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Type: Question • Score: 0 • Views: 840 • Replies: 2
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markr
 
  1  
Reply Mon 27 Jul, 2009 10:23 pm
@rohtarantula,
both: 0.16%
at least one: 9.84%
neither: 90.16%
oolongteasup
 
  1  
Reply Mon 27 Jul, 2009 11:02 pm
@markr,
To put it less succinctly:

The probability of 0 defects is (1-0.08)*(1-0.02)= 0.9016
Therefore the probability of 1 or 2 defects is (1-0.9016)= 0.0984
The probability of exactly 2 defects is (0.08)*(0.02)=0.0016

The probability of markr getting points without showing working is less than 1 if he is incorrect, a bit like the likelihood of me getting one right.

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