Yiit nar is developing a program with a number of activities that must be completed. The activities, immediate predecessors, expected times and variances given in the table below. Activity Immediate Pred. Time (days) o2 A 2 1/9 B 5 1 C 3 1/9 D B 10 1 E A, D 2 1/3 F 6 1/9 G E, F 8 1/3 Questions: a. (5 points) Develop an AON (Activity On Node) network for this problem. b. (5 points) What is the earliest start, earliest finish, latest start and latest finish (ES, EF, LS, LF) times for all activities? c. (5 points) What is the completion time of the project? d. (5 points) What is variance and standard deviation of critical path? e. (5 points) What is the probability of completion the project on the completion time? f. (5 points) Which activities are slack activities? g. (5 points) If we have 3 days delay in activity D what will be the new completion time of the project? Table of Standard Normal Probabilities for Positive Z-scores Z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3,4 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0,8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.9990 0.9993 0.9995 0.9997 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.9920 0.9940 0.9955 0.9966 0.9975 0.9982 0.9987 0.9991 0.9993 0.9995 0.9997 0.02 0.03 0.04 0.5080 0.5120 0.5160 0.5478 0.5517 0.5557 0.5871 0.5910 0.5948 0.6255 0.6293 0.6331 0.6628 0.6664 0.6700 0.6985 0.7019 0.7054 0.7324 0.7357 0.7389 0.7642 0.7673 0.7704 0.7939 0.7967 0.7995 0.8212 0.8238 0.8264 0.8461 0.8485 0.8508 0.8686 0.8708 0.8729 0.8888 0.8907 0.8925 0.9066 0.9082 0.9099 0.9222 0.9236 0.9251 0.9357 0.9370 0.9382 0.9474 0.9484 0.9495 0.9573 0.9582 0.9591 0.9656 0.9664 0.9671 0.9726 0.9732 0.9738 0.9783 0.9788 0.9793 0.9830 0.9834 0.9838 0.9868 0.9871 0.9875 0.9898 0.9901 0.9904 0.9922 0.9925 0.9927 0.9941 0.9943 0.9945 0.9956 0.9957 0.9959 0.9967 0.9968 0.9969 0.9976 0.9977 0.9977 0.9982 0.9983 0.9984 0,9987 0.9988 0.9988 0.9991 0.9991 0.9992 0.9994 0.9994 0.9994 0.9995 0.9996 0.9996 0.9997 0.9997 0.9997 0.05 0.5199 0.5596 0.5987 0.6368 0.6736 0.7088 0.7422 0.7734 0.8023 0.8289 0.8531 0.8749 0.8944 0.9115 0.9265 0.9394 0.9505 0.9599 0.9678 0.9744 0.9798 0.9842 0.9878 0.9906 0.9929 0.9946 0.9960 0.9970 0.9978 0.9984 0.9989 0.9992 0.9994 0.9996 0.9997 0.06 0.5239 0.5636 0.6026 0.6406 0.6772 0.7123 0.7454 0.7764 0.8051 0,8315 0.8554 0.8770 0.8962 0.9131 0.9279 0.9406 0.9515 0.9608 0.9686 0.9750 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9979 0.9985 0.9989 0.9992 0.9994 0.9996 0.9997 0,07 0.5279 0.5675 0,6064 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.8340 0.8577 0.8790 0.8980 0.9147 0.9292 0.9418 0.9525 0.9616 0,9693 0.9756 0.9808 0.9850 0.9884 0.9911 0.9932 0.9949 0.9962 0.9972 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 0.08 0.5319 0.5714 0.6103 0.6480 0.6844 0.7190 0.7517 0.7823 0.8106 0,8365 0.8599 0.8810 0.8997 0,9162 0.9306 0.9429 0.9535 0.9625 0.9699 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9951 0.9963 0.9973 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9997 0.09 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.9890 0.9916 0.9936 0.9952 0.9964 0,9974 0.9981 0.9986 0.9990 0.9993 0.9995 0.9997 0.9998