An automatic welding machine is being considered for use in a production process. It will be considered efficient if it is successful on 99% of its welds. Otherwise, it will not be considered efficient. A test is to be conducted with a prototype that is to perform 100 welds. The machine will be accepted for manufacturing if it misses no more than 3 welds.

a. Calculate the probability that an efficient machine will be rejected for manufacture.

b. Calculate the probability that an inefficient machine with 95% welding success will be accepted for manufacture.

Can someone guides me? Thanks for your guides!