Problem 1: Piri Reis University is establishing a new project. The project activities, the optimum times (a), the most likely times (m) and the pessimistic times (b) of the activities and predecessors of the activities are listed in the following list. (z table and project network drawn are also given below for easiness) Consider the following project (times given in days), Predecessors Activity a b b 7 1 2 2 3 4 2 5 1 2 8 a d 5 a 6 1 0 8 6 f 0 c.b c.b de 3 0 .00 .01 02 02 04 05 80 60 0.0 0.1 0.2 0.3 0.5 0.6 03 0.8 0.9 1.0 1.1 .5000 5398 .5793 .6179 .6554 .6915 _7257 .7580 17881 8159 .8413 8643 .8849 19032 .9192 1.9332 9452 9554 -9641 9713 9772 19621 9861 19893 9918 9938 .9953 19965 9974 9981 9987 19990 19993 9995 9007 15040 5438 .5832 6217 .6591 16950 17291 7611 7910 8186 .8438 .8665 .8869 9049 9207 19345 1.9463 9564 9649 9719 9778 9825 9864 9896 9920 9940 9955 9966 9975 9982 9987 9991 .9993 9995 0907 13 1.4 1.5 1.6 .5080 1.5478 15871 6255 .6628 .6985 7324 7642 7939 .8212 8461 8686 8888 -9066 19222 9357 .9474 1.9573 19656 9726 9783 .9830 9868 .9898 19922 9941 9956 9962 19976 19982 9987 9001 9994 995 9007 .5120 15517 .5910 .6293 .6684 .7019 .7357 17673 .7967 .8238 .8485 .8708 .8907 9082 9236 1.9370 9484 9582 1.9664 9732 .9788 9834 9871 .9901 9925 19943 19957 9968 9977 19983 9988 19091 1904 9996 3000 5160 5557 .5918 6331 .6700 7054 7389 7704 7995 8264 .8508 .8729 .8925 .9099 9251 9382 19495 9591 9671 19738 9793 9838 9875 990-1 9927 19945 19959 19969 9077 998 19988 q 9994 9996 1,05 5239 5606 .6026 16406 .6772 7123 7454 3 764 18051 8315 8554 8770 8962 19131 9279 19406 9515 19608 15199 5596 .5987 16368 .6736 7088 17422 7734 .8023 .8289 18531 .8749 46944 .9115 9265 19394 9505 19599 .9078 9744 9798 .9842 19878 9006 9929 9946 000 4970 9978 1984 9989 9992 9994 .5279 15675 .6064 613 .6808 17157 7486 17794 8078 18340 18577 8790 1.8980 19147 19292 9418 9525 19616 19693 9256 .9809 .5319 .5359 1571 5753 .6103 .6141 6480 6517 6844 .6879 7190 7224 07517 7549 17823 7852 8106 8133 .8365 8389 8599 .8621 8810 8830 1.8997 .9015 19162 9177 69306 19319 9429 19535 9545 9625 19633 9699 9706 9757 9767 9812 9817 .9854 9857 9887 9913 9934 9951 19952 9964 " 9896 OS26 E096 9696 1996 0066 0685 9160 9884 9911 19932 900g NNNNNNNNNNMmmm 2966 2258 9931 19948 19951 1992 9979 9985 9989 0902 9994 9996 DOT 090 9985 9999 9002 E966 5456 0856 9866 0656 9982 3935 19990 9998 9995 999 ISSN 9995 9993 9995 9096 999 00 LOCO LOGO LOGO A G START END B F E Assignment: Calculate expected times and variances for the activities, calculate earliest start (ES) and earliest finish (EF) times latest finish (LF) and latest start (LS) times for all activities, find critical path and expected project completion time and answer the following questions Questions 1. Please write the expected activity times for each activity. (Expected Activity Time (ET) of activities A B C D E F G 2. Please write the variances for each activity. (Variance of activities A B C D E F G 3. Please write the earliest finish (EF) time of each activity (A B C D E F G 4. Please write the latest finish (LF) time of each activity (A BODEG) 5. Which activities are slack activities? 6. Please write slack activity times of slack activities 7. Visite the critical path and expected project completion time. 8. What is the probability of the project completed in 23 days! 9. Please find the project completion time corresponding to 95% probability