The probability that a machine will produce all bolts in a production run within specification is 0.998.A sample of 8 machines is taken at random.Calculate the probability that (iii)atleast 6 machines will produce all bolts within specification.

The probability that a machine will produce all bolts in a production run within specification is 0.998.A sample of 8 machines is taken at random.Calculate the probability that 8 machines.

The probability that a machine will produce all bolts in a production run within specification is 0.998.A sample of 8 machines is taken at random.Calculate the probability that (i)all 8 machines.

The probabilty that a machine does not develop a fault within 3 years of use is 0.03.If 40 machines are selected at random,calculate the probability that 38 or more will not develop any faults within the first 3 years of use.

A company produces 10,000 items per day. On a particular day 2500 items were produced on machine A, 3500 on machine B and 4000 on machine C. The probability that an item produced by the machines. A, B, C to be defective is respectively 2%, 3% and 5 %. If one item is selected at random from the output and is found to be defective, then the probability that it was produced by machine C, is