In a certain assembly plant, three machines, B1, B2, and B3, make 30%, 45% and
25% respectively, of the products. It is known from past experience that 2%, 3% and
2% of the products made by each machine, respectively, are defective. Now, suppose
that a finished product is randomly selected.
i. What is the probability that it is defective?
ii. What is the probability that the defective product was supplied by B2?
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Answer:
7% is the defective products.
and 93% defectless.
probability of defective= 7%/100%=0.07%
probability of defective product from B2 = 3%/7%=0.428...%
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