A firm manufactures PVC pipes in three plants viz, X,Y and Z. The daily production volumes from the three firms X,Y and Z are respectively 2000 units, 3000 units and 5000 units. It is known from the past expierience that 3% of the output from plant X, 4% from plant Y and 2% from plant Z are defective. A pipe is selected at random from a day's total production,
(1) find the probability that the selected pipe is a defective one.
(2) if the selected pipe is a defective, then what is the probability that it was produced by plant Y?

Matching exercise

    
Match the items on the right to the items on the left.
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Step 4
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