In a factory which manufactures bolts, machines A,B and C manufacture respectively 25%, 35% and 40% of the bolts. Of their outputs 5%, 4% and 2% are defective bolts. A bolt is drawn at random from the product and is found to be defective. What is probability that it is manufactured by the machine B ?

In a factory which manufacture bulbs,machine X, Y and Z manufactures respectively 25%, 35% and 40% of the bulbs. Of the output 1%, 2% and 3% are respectively defective bulbs. A bulb is drawn at random and found to be defective. What is the probability that it is manufactured by machine Y ?

In a bulb factory, machine A,B and C manufactures 60%, 30% and 10% bulbs respectively. 1%, 2% and 3% of the bulbs produced by A, B and C respectively are defective. A bulb is drawn at random from the total production and found to be defective. Find the probability that this had been produced from machine A.

A factory has two machines A and B. past record shows that machine A produced 60% of the items of output and the machine B produced 40% of the items. Future 2% of 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 choosen at random from this and is found to be defective. what is the probability that it was produced by machine B ?

A company has two plants to manufacture scooters.Plant I manufactures 70% of the scooters and Plant II manufactures 30%.At Plant I,30% of the scooters are of standard quality and at Plant II,90% of the scooters are rated as of standard quality.A scooter is chosen at random and is found to be of standard quality.What is the probability that it has come from Plant II?

It is known that 10% of certain articles manufactured are defective . What is the probability that in a random sample of 12 such articles 9 are defective?

There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item ?

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

A manufacturer has three machine operators A,B and C. The first operator A produces 1% defective items,whereas the other two operator B and C produce 5% and 7% defective items respectively. A is on the job for 50% of the time,B is on the job 30 % of the time and C is on the job for 20% of the time. A defective item is produced,what is the probability that it was produced by A?