A company has two plants to manufacture bicycles. The first plant manufactures 60% of the bicycles and the second plant 40% . 80% of the bicycles are rated of standard quality at the first plant and 90% of standard quality at the second plant. A bicycle is selected random and found to be of standard quality. Find the probability that it comes from the second plant.

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% ol the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B:

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 5000 units. It is known from the past experience 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, (i) find the probability that the selected pipe is a defective one. (ii) if the selected pipe is a défective, then what is the probability that it was plant Y ?

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 experience that 3% of the output from plant X,4% form plant Y and 2% from plant Z are defective. A pipe is selected at random from a days total production, (i)find the probability that the selected pipe is a defective one (ii)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 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 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 , 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 daily production volumes from the three firm X, Y and Z are respectively 2000 units, 3000 units and 5000 units. It is known from the past experience 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 (i) find the probability that the selected pipe is defective one. (ii) If the selected pipe is a defective, then what is the probability that it was produced by plant Y ?

A computer producing factory has only two plants T_(1) and T_(2) . Plant T_(1) produces 20% and plant T_(2) produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to bedefective, given that it is produced in plant T_(1) )=10P (computer turns out to be defective, given that it is produced in plant T_(2) ), where P(E) denotes the probability of an event E.A computer produced in the factory is randomly selected and it does not turn out to be defective. Then, the probability that it is produced in plant T_(2) , is

At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100 m^3 s^(-1) . If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g = 9.8 ms^(-2)) .