The acceptance scheme for purchasing lots containing a large number of batteries is to test no more than 75 randomly selected batteries and to reject a lot if a single battery fails. Suppose the probability of a failure is 0.001.
a) What is the probability that a lot is accepted?
b) What is the probability that a lot is rejected on the 20th test?
c) What is the probability that it is rejected in 10 or less trials?