Question

6. A manufacturing firm orders computer chips from three different companies: 10% from Company A; 20% from Company B; and 70% from Company C. Some of the computer chips that are ordered are defective: 4% of chips from Company A are defective; 2% of chips from Company B are defective; and 0.5% of chips from Company C are defective. A worker at the manufacturing firm discovers that a randomly selected computer chip is defective. What is the probability that the computer chip came from Company B? Show your work.

Answer 1

Siuw ufomalions 6. A 41. detine is djetine is Hdndem A Beenent deiy tamfony A enent hesin comany C E he Euent Cip baing diyedive ufectane So PLA O 2 0. PCO

befetone hi fiven 4. -004 P(EJA) P(ej) b4ectine ih giuw ils 21. - 0.02 etive chit ginew D-5- 0.005 eud to f, (ole) (B/E) e chi is fee Theerem FABM me knous E)

Whore, ) e)) Hese A au A,B and rWe)PeA)-o) fle) laing the valuee m akone lele) (o-04x Dr) 002 x.2 (o02 x02) + (o05x0) 0 O04tDOD4 + 0-oD35 4 0.3478 115 00115 Lame O.3478
So, Probability that any random chosen defective chip came from Company B is 0.3478