QUESTION 5 An arrow-based PERT schedule shows a sequence of activities related to the construction of a small building project. Information on durations of activities and values of means, standard deviations and variances are given in this table. Critical path is 1-3, 3-5, 5-8, 8-10. ACTIVITY TE S 3.2 0.50 0.25 8.7 1.33 1.78 11 7.2 1.17 1.36 6.8 0.50 0.25 6.3 1.00 1.00 0.0 0.00 0.00 us I 5.3 1.00 1.00 9.2 1.17 1.36 6-7 10 12 9.8 0.83 0.69 7-10 4.8 0.83 0.69 W N 8-10 5.2 0.83 0.69 9-10 12 17 12.2 1.50 2.25 Appendix - The Probability Table for a Normal Distribution Z O 8 5000 5040 .5080 5120 5160 5199 5239 5279 5319 .5359 0.1 .5398 .5438 5478 .5517 .5557 .5596 5636 .5675 5714 .5754 0.2 5793 5832 587 5910 5948 .5987 .6026 .6064 6103 6141 0.3 6179 -6217 6255 6293 6331 .6368 .6406 .6443 6480 .6517 ).4 6554 6591 6628 6664 6700 6736 6772 6808 6844 6879 0.5 .6915 6950 6985 7019 7054 .7088 7123 .7157 7190 .7224 7258 729 7324 .7356 7389 .7422 .7457 .7486 .7518 .7549 0.7 7580 .7612 7642 7673 7704 7734 7764 7794 7823 7852 ).8 .7881 .7910 7939 7967 7996 .8023 8051 .8078 .810 .8133 ).9 8159 8186 8212 8238 8264 8289 8315 8340 8365 8389 8413 8438 8461 8485 8508 8531 8554 8577 8599 862 8643 8665 8686 8708 8729 8749 8770 8790 8810 8830 8849 8869 888 8906 8925 8944 8962 8980 8997 9015 .9032 .9049 9066 .9082 9099 .9115 9131 .9147 .9162 .917 9192 .9207 9222 9236 9251 .9265 9279 9292 9306 9319 9332 9345 9357 9370 9382 9394 9406 9418 9430 9441 9452 9463 9474 9484 9495 9505 9515 9525 9535 9545 9554 9564 9573 9582 9591 9599 9608 9616 9625 9633 .9641 .9649 9656 9664 9671 .9678 9686 .9693 9699 .9706 .9713 9719 9726 9732 9738 9744 9750 9756 9761 9767 9772 9778 9783 9788 9793 9798 9803 .9808 9812 .9817 .9821 9826 9830 9834 9838 9824 9846 .9850 .9854 .9857 9861 9864 9868 9871 9875 9878 9881 9884 .9887 9890 9893 9896 9898 .9901 9904 .9906 9909 .9911 .9913 .9916 9918 9920 9922 9925 9927 9929 9931 9932 9934 9936 .9938 9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 9952 9953 9955 9956 9957 9959 9960 9962 9963 9964 9965 9966 9968 9969 9970 -9971 9972 .9973 .9974 9974 9975 .9976 997 .997 9978 9979 9980 9981 9981 9982 .9982 9983 9984 9986 9986 9987 9987 9987 .9988 9988 9989 9989 9989 9990 9990 9990 9991 .9991 9991 .9992 9992 9992 9992 .9993 9993 9993 9993 9994 9994 .9994 9994 9994 9995 9995 .9995 9995 9995 9996 9996 .9996 9996 9996 9996 .9996 9997 9997 9997 9997 9997 .9997 9997 9997 9997 9998 9998 9998 9998 9998 9998 9998 9998 9998 9998 9998 .9998 9998 .9998 .9999 .9999 .9999 .9999 .9999 .9999 .9999 .9999 (Please fill in the blank) The probability that this project will be completed in 32 weeks is (please round to two decimal places): [ 1%
