Question

A company buys tires from three suppliers A, B and C. Supplier A has a record of delivering tires containing 8% defective, whereas supplier B has a defective rate of only 4% and supplier C has defective rate of 12%. Suppose 35% of current supply comes from supplier A, 30% from supplier C and rest from supplier B. If a tire is selected at random,

find the probability:

(a) that the tire is NOT defective;

(b) given the selected tire was defective, find probability that it came from supplier B.

(c) given the selected tire was not defective, find probability that it came from supplier C.

Answer 1

PODOLC). : |- PCDIC) = 1 -0.12 = 0.88 By Bayes' theororem find, + PCC IDE) P(Ф°ic) PC c), PCD) of the - (0.88) (0.30) il 0.922 P(CID') = 0.2863 Given the Selected fire was not defective, then the probability that it came from supplier С is 0,2863