4 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 2 7 (2,7) 6 2 8 (2,8) 2 9 (2,9) 4 3 7 (3,7) 2 3 8 (3,8) 3 9 (3,9) 2 7 (4,7) (4,8) 2 9 (4,9) 8 Total 40 NN 8 4 4 4 8 Table 4.3 PROBABILITY ASSIGNMENTS FOR THE KP&L PROJECT BASED ON THE RELATIVE FREQUENCY METHOD Project Probability Sample point Completion Time of Sample Point (2,7) 9 months P(2, 7)=6/40=0.15 (2,8) 10 months P(2,8)=4/40=0.1 (2,9) 11 months P(2, 9)=4/40=0.1 (3,7) 10 months P(3, 7)=2/40=0.05 (3,8) 11 months P(3, 8)=8/40=0.2 (3,9) 12 months P(3, 9)=2/40=0.05 (4,7) 11 months P(4,7)=4/40=0.1 (4,8) 12 months P(4,8)=2/40=0.05 (4,9) 13 months P(4, 9)=8/40=0.2 Total 1.00 a. The design stage (stage 1) will run over budget if it takes 4 months to complete. List the sample points in the event the design stage is over budget. Select a. The design stage (stage 1) will run over budget if it takes 4 months to complete. List 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 9 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)