An automatic welding machine is being considered for production. It will be considered for purchase if it is successful for 99% of its welds. Otherwise, it will not be considered efficient. A test is conducted on a prototype that is to perform 100 welds. The machine will be accepted for manufacture if it misses no more than 3 welds.
(a) What is the probability that a good machine will be rejected?
(b) What is the probability that an inefficient machine with 95% welding success will be accepted?