Q6. A manufacturer uses three different suppliers for a particular component. In current inventory, there are 450 parts from supplier A , 350 from supplier B, and 200 from supplier C . The manufacturer found that 0.2% of parts from supplier A is defective; 0.5% of parts from supplier B is defective; 0.6% of parts from supplier C is defective. Let A,B,C denote the events that the part came from supplier A,B,C, respectively.
1. Based on the inventory mix, determine P(A),P(B),P(C)
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2. If one randomly selected part is defective (event D), determine the probability that it came from supplier C