Problem Statement Given the above AOA network and PERT activity time estimates, the computed expected activity times and variances and Z table for normal distribution. Assignment: Determine the earliest and latest times for each activity, identify the critical path, compute the expected project completion time and variance for the critical path, determine the probability that the project will be completed in 28 days or less. Answer the following questions. Questions: What is the critical path? What is the expected project completion time? What is the probability for the completion of the project on time? What is the probability of the project be completed in 28 days or less?

5319 Time Estimates (weeks) Activitym 5 193 71013 23 3 5 7 9162 17 9306 3 .00 .01 .02 03 .04 .05 06 07 08 09 0.0 .5000 5040 5080 5120 5160519952395279 5359 0.1 5398 54385478 5512 5557 5596 5636 5675 5714 5753 02 .5793 58325871 5910 5948 5987 6026 6064 .6103 .6141 03 .6179 .6217 .6255 .6293 .6331 .6368 6406 6443 .6480 6517 0.4655465916628 .6664 .6700 .6736.67726808 684 6879 0.5 .6915 69506985 7019 7054 708812371577190 7224 0.6 7257 7291 7324 7357 7399 74227454 7486 7517 7549 07 7580 7611 7542 7673 7704 7734 7754 77947823 7852 0.878817910 1939 7967 79958023 8051 8078 .8106 8133 09 8159 8186 8212 8238 8254 82898315 83408365 8389 1.0 84138438 8461 8485 8508 8531 8554 8577 .8599 8621 1.1 8643 86658686 8708 8729 87498770 8790 8810 8830 12 8849 8969 8888 .8907 8925 8944 8962 9980 8997 9015 13 .9032 .90499066 9082 9099 91159131 9147 .9177 1.4 .9192 .92079222 .9236 9251.926592799292 9319 15 .9032 .93459357 9370 938293949406 9418 9429 9441 1.6 .9452 9463 904 9484 94959505 95159525 9535 9545 17 9554 9564 9573 9582 .9591 959996089616 9625 1.8 .9641 96499656 9664 957196789686 9693 9699 9706 19 97139719 9726 97329738 9744 9750 9756 9761 .9767 2.0 97729778 9783 9788 97939798 9803 9808 9812 9817 2.1 9821 98269830 9834 9838 98429946 9850 9854 9857 22 .986498689871 98759878 9881 9884 9890 23 989398969898 9901 .9904 9906 99099911 .9913 9916 24 .9918 9920 9922 9925 9927 992999319932 9934 9936 25 .9938 9940 9941 .9948 9945 9946 99489949 9951 .9952 26 9953 99559956 9957 9959 996099619962 9963 27 .9965 9966 9967 9968 9969997099719972 9973 9974 2.8 9974997599769977 9977 997899799979 9980 9981 2.9 998199829982 9983 9984 9984 99859965 9956 .9986 3.0 9987998799879988 9988999999999999 9990 9990 3.1 .9991 9991 9992 999299929992 9993 .9993 3.2 99939993 99949994 9994 99949994 9995 9995 .995 33 .999599959995 999699969996999699969996 9997 3.4 99979997 9979997999799979997 97 9997 1 5 34 4 6 35 3 3 3 4 5 4 Activity L. (6) 129 13 10 235 49 34 6 49 3753 0 119 4