2. A metal fabricating plant currently has five major pieces under contract each with a deadline for comple- tion. Let X be the number of pieces completed by their deadlines, and suppose its PMF p(x) is given by p(x) 0.05 0.10 0.15 0.25 0.35 0.10 (a) Find and plot the CDF of X. (b) Use the CDF to find the probability that between one and four pieces, inclusive, are completed by their deadline. 3. Let Y denote the cost, in hundreds of dollars, incurred to the metal fabricating plant of Exercise 2 due to missing deadlines. Suppose the CDF of Y is 0 y