Hello I could answer this problem can you help me please 1 A

Hello

I could answer this problem, can you help me please?

1- A company involved in the integration of personal computers gets its graphics cards from
three sources, A, B, and C. Source A provides 20% of the cards, B provides 35%, and C
45%. Past experience has shown that 5% of the cards from A are found to be defective,
while those from B and C are found to be defective 3% and 2% of the time, respectively
(a) What percentage of the company

Solution

a)percentage of gaphics card defective are =P(A)*percentage defective(A)+P(B)*percentage defective+P(C)*percentage defective

.2*.05 +.35*.03+.45*.02=.01+.0105+.009 =.0295=2.95%

b)By Bayes theorem

probability it was
provided by source C=P(C)*percentage defective/.0295

                              =.45*.02/.0295

                               =.305