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 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.

The centres for disease control have determined that when a person is given a vaccine,the probability that the person will develop immunity to a virus is 0.8.If eight persons are given this vaccine,find the probability that (iii)all will develop immunity.