please answer in details with steps for questions 1(a) , 1(b) , 1(c), 1(d), if the questions are too many for you, just answer 1(a) and 1(c) , thank you

1a. Suppose that the number of defects in a piece of wire of length t yards is POItht) and that one defect is found in a loo-yard piece of wire. Find the p-value of an exact of the null hypothesis that A 2 0.05 against the alternative that it