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 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 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

A machine has fourteen identical components that function independently.It will stop working if three or more components fail.If the probability that component fails is equal to 0.1,find the probability that the machine will be working.