A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The deily production velumes from the three firms X,Y and Z are respectively 2000 units , 3000 units and 5000 units . It is known from the past experience that3%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 ,if the selected pipe is a defective , then what is the probability that it was produced by plant Y ?

A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The de

1.	A firm manufactures PVC pipes in three plants viz, X ,Y and Z . The deily production velumes from the three firms X,Y and Z are respectively 2000 units , 3000 units and 5000 units . It is known from the past experience that3%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 ,if the selected pipe is a defective , then what is the probability that it was produced by plant Y ?
Answer» <P> ANSWER : ` P (B//A_(3)) = (2)/(100)` ` therefore P(A_(2)//B) = 3/7`