SOLUTION: In a manufacturing plant, three machines, A, B, and C, produce 40%, 33%, and 27%, respectively, of the total production. The company's quality-control department has determined th

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Question 939020: In a manufacturing plant, three machines, A, B, and C, produce 40%, 33%, and 27%, respectively, of the total production. The company's quality-control department has determined that 1.5% of the items produced by Machine A, 2% of the items produced by Machine B, and 2.5% of the items produced by Machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by Machine B? (Round your answer to three decimal places)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


recommend a table:

A  .40(.015def)   .006 of the total def

B  .33(.02def)    .0066 of the total def

C  .27 (.025def)  .00675 of the total def

                   .01935  total def

.......

P(A|B) = P(A and B)/P(B)

P(B|def) = .0066/.01935

check Arithmetic..