Question

4. Each week a retail outlet accepts delivery of a certain item from 3 dif- ferent suppliers, A, B and C. All the items received are put into an empty bin. A supplies 50% of these items, while B and C each supply 25%. From past experience, it is known that 2% of the items supplied by A are defective, 2% of the items supplied by B are defective and 4% of the items supplied by C are defective. Suppose an item is chosen at random from the bin. a) [3] What is the probability that it is defective? b) [3] What is the probability that it came from supplier C? sar

Answer 1

dut euent E be that thi 4 dycctuse Supply A: Supply Supply PCA)= Pic)-0.25 O-50 0.25 PE)= PA) PlE/8)= 0.O4 0.02 002 fund PlE) and to naue ue PLE/) Ple) PlE/A) PCA) PlE) + + 0.04 KO 25 + 0.02 x 0-25 O-02 050 0.025 (9e) PLE) Ad O.4 O.25 U