SOLUTION: a lighting company obtains 80% of their light bulbs from company A that has a defect rate of 0.05 and the rest from company B with a defect rate of 0.10. If a light bulb is defec

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Question 1035130: a lighting company obtains 80% of their light bulbs from company A that has a defect rate of 0.05 and the rest from company B with a defect rate of 0.10. If a light bulb is defective what is the probability it came from company A?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
p(A) = 0.80, p(B) = 0.20, p(D|A) = 0.05, p(non-D|A) = 0.95
and p(D|B) = 0.10, p(non-D|B) = 0.90
==> p(A|D) = P(A and D)/p(D) = (p(D|A)*p(A))/p(D) = %280.05%2A0.80%29%2F%280.05%2A0.80+%2B+0.20%2A0.10%29+=+2%2F3