Question
A manufacturing company orders 22% of its demand of components from supplier A; 30% of the demand from supplier B; and remaining from supplier C.
A manufacturing company orders 22% of its demand of components from supplier A; 30% of the demand from supplier B; and remaining from supplier C. The defect rates of the components provided by suppliers A, B, and C are 3%, 4%, and 5% respectively.
a. Considering that the received components are well mixed, what is the probability that a randomly selected component is defective and supplied by supplier C?
b. What is the probability that a randomly selected unit is defective?
c. If randomly selected unit is defective, what is the probability that it is provided by supplier C?
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