You may need to use the appropriate technology to answer this question. A project consists of five activities as shown in the following table. Activity Optimistic Time (hr) Most Probable Time (hr) Pessimistic Time (hr) Floor sanding 4 5 6 Floor buffing 3 4 5 Paint mixing 0.5 1 1.5 Wall painting 2 3 10 Ceiling painting 3 7.5 9 Naturally, the paint mixing precedes the painting activities. Also, both ceiling painting and floor sanding must be done prior to floor buffing. (a) Construct the PERT/CPM network for this problem. Floor Floor Floor Floor Buffing Sanding Buffing Sanding Paint Paint Finish Start Finish Start Wall Wall Paint Paint Mixing Mixing Paint Paint Ceiling Ceiling O Floor Floor Floor Floor Sanding Buffing Sanding Buffing-, ,1 ,l / 'r \\ (b) What is the expected completion time (in hours) of this project? :m (c) What is the probability that the project can be completed within thirteen hours? (Round your answer to four decimal places.) : / /,I \\- / \\ E) Show My Work (Olmonal) o Submit