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 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 probability that a lamp in a classroom will be burnt out is 0.3.Six such lamps are fitted in the classroom.If it is known that the classroom is unusable if the number of lamps burning in it is less than four,find the probability that the classroom cannot be used on a random occasion.