Question: 1 A company is willing to develop their rocket before the end of current financial year which is now 28 weeks away. The chief engineer

1 A company is willing to develop their rocket before the end of current financial year which is now 28 weeks away. The chief engineer of the company has decided to use PERT technique in order to plan, schedule and control program of development for the data given in table below. What is the probability that the program will be completed by the end of the current financial year? (all durations are in weeks). ) (i) (1) Optimum Duration Most likely duration Pesimistic duration 1 2 3 8 13 3 2 5 8 4 3 8 10 2 5 4 7 10 6 2 3 8 4 6 9 10 8 6 9 5 7 6 9 12 6 9 5 7 11 9 2 5 8 9 6 9 1 3 co 7 4 4 14 00 0 h 4 TABLE 11.1. Z Table: Cumulative Probability of the Standard Normal Distribution z .00 .01 .O2 .03 ,04 .05 .06 .07 .08 .09 7852 1219 8686 - 0.0 .5000 5040 5080.5120 .5160 1.5199 .5239 .5279 .5319 5359 0.1 5398 .5438 15478 .5517.5557 5596 5636 5675 5714 5753 0.2 .5793 5832 .5871 .5910 .5948 5987.6026 6064 .6103 .6141 0.3 .6179 6217.62556293 6331 .6368 .6406.6443 64806517 0.4 .6554.6591 .6628 .6664 .6700 6736 .6772 6808 .6844 6879 0.5 .6915 .6950 .6985 .7019 7054 .7088 1.7123 .7157 1.7190 7224 0.6 .72577291 .7324 7357 .7389.7422.7454 7486 .7517 .7549 0.7.75807611 .7642 7673 .7704 .7734 .7764 .7794 7823 0.8.7881 .7910.7939 .7967 .7995 1.8023 .8051 8078 8106 .8133 0.9 .8159 8186 8212 .8238 .8264 .8289 .8315 .8340 8365 .8389 1.0 .8413 .8438 8461 8485 8508 .8531 .8554 .8577 .8599 8621 8643 .8665 .8708 8729 .8749 1.8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 9032 9049 .9066 9082.9099 9115 9131 9147 9162 9177 1.491929207 9222 .9236 .9251 .9265 .9279 .9292 9306 9319 1.5 .9332.9345 9357.9370 9382 9394 9406 .9418 9429 9441 1.6 9452 9463 9474.9484 .9495 9505 9515 95259535 9545 1.7 .9554 9564 9573.9582 .9591 9599 .9608 9616.9625 .9633 1.8 1.9641 .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 1.9878 9881 9884 .9887 9890 2.3 9893 .9896 9898.9901 9904 .9906 .9909 9911 .9913 9916 2.4 9918 9920 9922 .9925 9927 9929 .9931 .9932 9934 .9936 2.5 9938 9940 9941 .9943 .9945 .9946 .9948 9949 .9951 9952 2.6.9953 9955 9956 9957 9959 9960 .9961 19962 9963 9964 2.7 9965 .9966 9967 .9968 .9969 9970 9971 .9972 9973 9974 2.8 9975.9976.9977 9977 9978 9979 9979 9980 9981 2.9 9981 99829982.9983 9984 9984 9985 .9985 9986 9986 3.0 9987 9987 .9987 9988 9988 9989 9989 9989 9990 9990 -- -NN 9974

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