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a. 1. Using PERT, please calculate the expected duration of the following construction project; b. determine the critical path; c. calculate the probability of completing this project in 33 weeks or less by consulting the following Cumulative Standard Normal Distribution Table. Activity A B C D E F G Type Constant Constant ta, th, to Constant ta th . ta th, t Duration (Weeks) 2 3 3,8,4 4 6,8,7 5,10,7 9,15,11 9 6 12,18,16 7,13,10 6 1 2,8,5 Successor D E,F,G F G H,I,J H,I,J K K K L N M N N END H Constant Constant I ta thtm J K L M N Constant Constant ta, th, to Cumulative Standard Normal Distribution Table Z 0.0 0.1 0.2 0.3 0.4 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.02 0.5080 0.5478 0.5871 0.6255 0.6628 0.03 0.5120 0.5517 0.5910 0.6293 0.6664 0.04 0.5160 0.5557 0.5948 0.6331 0.6700 0.05 0.5199 0.5596 0.5987 0.6368 0.6736 0.06 0.5239 0.5636 0.6026 0.6406 0.6772 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 0.08 0.5319 0.5714 0.6103 0.6480 0.6844 0.5 0.6 0.7 0.8 0.9 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7019 0.7357 0.7673 0.7967 0.8238 0.7054 0.7389 0.7704 0.7995 0.8264 0.7088 0.7422 0.7734 0.8023 0.8289 0.7123 0.7454 0.7764 0.8051 0.8315 0.7157 0.7486 0.7794 0.8078 0.8340 0.7190 0.7517 0.7823 0.8106 0.8365 1.0 1.1 1.2 1.3 1.4 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.8485 0.8708 0.8907 0.9082 0.9236 0.8508 0.8729 0.8925 0.9099 0.9251 0.8531 0.8749 0.8944 0.9115 0.9265 0.8554 0.8770 0.8962 0.9131 0.9279 0.8577 0.8790 0.8980 0.9147 0.9292 0.8599 0.8810 0.8997 0.9162 0.9306