please solve this question for engineering management course:
The table below shows a small project of 9 activities with the following time estimates: Most optimistic Most likely Most pessimistic time(weeks) time(weeks) time(weeks) Activity Dependent A 4 u 6 B 6 8 10 C A 6 6 6 D B 3 4 5 E B 4 F C.D 8 10 12 G E 6 7 8 H C.D 12 13 20 I F.G 10 12 14 Use the table to answer the following questions: i. Schedule the project. (10 Marks) ii. Find the probability in which all critical activities will be completed in 35 weeks or less. ( 2.5 marks) iii. How much time must be allowed to achieve a 99% probability of timely completion? (2.5 Marks)Additional Information: a+4m +b T - H t = - 02. Z = 6 6 0 Standard Normal Probabilities Table entry- Table entry for z is the area under the standard normal curve to the left of z .00 .01 .02 .03 .04 05 .06 107 .08 .09 .5000 5040 .5080 5120 .5160 .5199 .5239 5279 5319 .5359 0.0 .5753 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 5714 0.2 5832 5871 5910 5948 5987 .6026 6064 .6103 .6141 .5793 6293 6331 .6368 6406 6443 .6480 .6517 0.3 .6179 6217 6255 .6879 0.4 .6554 6591 8799 6664 6700 6736 6772 6808 .6844 0.5 6915 6950 .6985 .7019 .7054 .7088 .7123 .7157 7190 .7224 .7324 .7357 .7389 .7422 .7454 7486 7517 .7549 0.6 .7257 .7291 .7611 .7642 .7673 .7704 .7734 .7764 .7794 7823 .7852 0.7 .7580 8105 8133 0.8 .7881 .7910 .7939 .7967 .7995 .8023 8051 8408 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 8565 .8686 .8708 .8729 .8749 .8770 8790 .8810 .8830 1.2 8845 8869 8888 8907 .8925 .8944 8962 8980 8997 9015 .9032 .9066 .908 9099 .9131 9177 .9049 9115 9147 9162 1.3 1.4 9192 9207 .9222 9236 .9251 .9265 .9279 9292 9306 .9319 9441 1.5 .9332 .9345 .9357 9370 .9382 .9394 .9406 9418 9429 9535 9545 1.6 .945 9463 .9474 9484 9495 .9505 .9515 9525 1.7 .9554 9564 .9573 .9582 .9591 .9599 .9608 9616 .9625 .9633 1.8 .9641 9649 9656 9664 9671 9678 .9686 9693 9699 9706 1.9 .9713 9719 9726 9732 9738 9744 9750 9756 .9761 9767 2.0 .9772 9778 9783 9788 .9793 9798 .9803 .9808 9812 9817 2.1 9821 9826 .9830 9834 9838 9842 9846 9850 .9854 9857 2.2 9861 9864 9868 9871 .9875 9878 .9881 9884 9887 9890 2.3 9896 9898 .9901 9904 .9906 9909 9911 .9913 9916 989 2.4 9932 9934 9936 9918 9920 9922 9925 9927 9929 .9931 2.5 .9938 9940 9941 .9943 .9945 9946 9948 9949 .9951 .9952 2.6 .9953 9955 9956 .9957 9960 .9961 9962 9963 9964 9956 9967 .9968 9969 9970 .9971 9972 .9973 9974 2.7 .9965 2.8 .9974 9975 .9976 9977 9977 9978 9979 .9979 9980 .9981 9986 2.9 9986 9981 9982 9982 9983 .9984 9984 9985 .9985 3.0 .9987 .9987 .9987 .9988 .9988 9989 .9989 9989 9990 .9990 3.1 .9990 .9991 .9991 9991 .9992 .9992 .9992 9992 9993 .9993 9994 9994 9994 .9994 .9995 9995 .9995 3.2 .999 .9993 .9994 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 9996 .9996 .9997 3.4 .9997 9997 .9997 .9997 .9997 9997 .9997 9997 .9997 .9998
