An engineer has designed a modified welding robot. The robot will be considered good enough to manufacture if it misses only 1% of its assigned welds. And it will be judged a poor performer if it misses 5% of its welds. (In-between possibilities are not considered.) A test is performed involving 100 welds. The new design will be accepted if the number of missed welds R is 2 or fewer and rejected otherwise. a. What is the probability that a good design will be rejected?b. What is the probability that an inefficient machine with only 92% welding success will be accepted?c. What are the distributions used for both part (a) and (b)?