Refer to the KP&L sample points and sample point probabilities in Tables 4.2 and 4.3. TABLE 4.2 COMPLETION RESULTS FOR 40 KP&L PROJECTS Completion Time (months) Number of Past Projects Stage 1 Stage 2 Having These Design Construction Sample point Completion Times 3 6 (3,6) 6 (3,7) 6 (3,8) 2 (4,6) (4,7) 6 (4,8) 2 (5, 6) (5,7) (5,8) 8 Total 40 3 7 3 8 4 4 6 4 4 5 NON00 2 5 4 2 4 g 5 (3,8) Table 4.3 PROBABILITY ASSIGNMENTS FOR THE KP8L PROJECT BASED ON THE RELATIVE FREQUENCY METHOD Project Probability Sample point Completion Time of Sample Point (3,6) 9 months P(3, 6)-6/40-0.15 (3,7) 10 months P3, 7)-6/400.15 11 months PX3, 8)-2/40-0.05 (4,6) 10 months P(4, 6) 4/40-0.1 (4,7) 11 months P(4,7)-6/40-0.15 (4,8) 12 months P(4,8)-2/40 -0.05 (5,6) 11 months P(5, 6)-2/40-0.05 (5.7) 12 months P(5, 7) - 4/40-0.1 (5,8) 13 months P(5, 8)-840-0,2 Total 1.00 a. The design stage (stage 1) will run over budget if it takes 5 months to complete. Ust the sample points in the event the design stage is over budget Select b. What is the probability that the design stage is over budget (to 2 decimal) C. The construction stage (stage 2) will run over budget if it takes 8 months to complete list the sample points in the event the construction stage is over budget Select d. What is the probability that the construction stage is over budget (to 2 decimals) (4,6) 10 months P(4, 6)-4/40-0.1 (4,7) 11 months P(4,7)-6/40-0.15 (4,8) 12 months P(4,8)-2/40-0.05 (5,6) 11 months PX5, 6)-2/40-0.05 (5,7) 12 months P(S, 7) 4/40-0.1 (5,8) 13 months P(5, B)-8/40 -0.2 Total 1.00 a. The design stage (stage 1) will run over budget if it takes 5 months to complete. Ust the sample points in the event the design stage is over budget. Select b. What is the probability that the design stage is over budget (to 2 decimal)? C. The construction stage (stage 2) will run over budget if it takes 8 months to complete. List the sample points in the event the construction stage is over budget. Select d what is the probability that the construction stage is over budget (to 2 decimals)? e. What is the probability that both stages are over budget (to 2 decimals)