First Table is B. Second Table is B1

The new director of special events at a large university has decided to completely revamp graduation ceremonies. Toward that end, a PERT chart of the major activities has been developed. The chart has five paths with expected completion times and variances as shown in the table. Graduation day is 16 weeks from now. Use Table B and Table B1. Path A B C D E Expected Duration (weeks) 10 8 12 15 14 Variance 1.21 2.00 1.00 2.89 1.44 Assuming the project begins now, what is the probability that the project will be completed before: (Round your z-value to 2 decimal places and all intermediate probabilities to 4 decimal places. Round your final answers to 4 decimal places.) a. Graduation time? Probability for graduation time b. The end of week 15? Probability at the end of week 15 c. The end of week 13? Probability at the end of week 13 Z 100 101 1.02 .03 1.04 1.05 1.06 1.07 108 109 N 1 1.2 3 4 15000 15398 5793 16179 16554 15040 15438 15832 16217 1.6591 1.5080 15478 15871 16255 .6628 5120 15517 .5910 1.6293 1.6664 15160 15557 15948 1.6331 6700 15199 1.5596 15987 6368 6736 1.5239 1.5636 .6026 16406 16772 5279 5675 16064 .6443 .6808 5319 15714 6103 6480 1.6844 15359 15753 6141 16517 16879 15 6 7 8 9 16915 7257 1.7580 7681 8159 16950 7291 7611 17910 18186 .6985 1.7324 7642 7939 18212 2019 1357 1.7673 17967 1.8238 7054 7389 17703 1995 .8264 17088 1.7422 17734 8023 1.8289 17123 1.7454 17764 8051 1.8315 7157 7486 7794 1.8078 18340 17190 1517 7823 8106 18265 7224 1.7549 17852 18133 28389 1.0 11 1.2 13 1.4 18413 18643 18849 19032 19192 1.8438 1.8665 8869 19049 19207 1.8461 18686 18888 19066 19222 1.8485 1.8708 18907 1.9082 19236 1.8508 18729 18925 19099 1.9251 18531 8749 8944 19115 19265 1.8554 18770 18962 19131 19279 18577 18790 18980 19147 1.9292 .8599 1.8810 8997 19162 19306 18621 18830 19015 9177 19319 15 1.6 1.7 1.8 1.9 19332 19452 19554 19641 19713 19345 19463 9564 19649 19719 19357 19474 19573 19656 19726 19370 19484 19582 1.9664 19732 19382 19495 19591 19671 19738 19394 19505 19599 19678 19744 19406 19515 19608 1.9686 19750 19418 19525 19616 19693 19756 19429 19535 9625 19699 19761 19441 19545 19633 19706 19767 20 21 22 2.3 24 19772 19821 19861 19893 19918 19778 19826 19864 19896 19920 1.9783 19830 19868 19898 19922 19788 19834 19871 19901 19925 19793 19838 19875 19904 19927 19798 19842 19878 19906 19929 19803 19846 19881 19909 1.9931 19808 19850 19884 19911 19932 19812 19854 19887 19913 19934 19917 19857 19890 19916 19936 2.5 26 27 19938 19953 19965 19974 19981 19940 19955 19966 19975 19982 19941 19956 19967 19976 1.9982 1.9943 19957 19968 19977 19983 19945 19959 19969 1.9977 19984 19946 19960 1970 19978 19984 19948 19961 19971 19979 19985 1.9949 19962 19972 19979 19985 19951 19963 19973 19980 19986 19952 19964 19974 19981 19986 2.8 2.9 3.0 31 3.2 3.3 3.4 19987 19990 19993 19995 19997 19987 19991 19993 19995 19997 19987 19991 19994 19995 19997 19988 19991 19994 1.9996 19997 19988 19992 19994 19996 1997 19989 19992 19994 19996 19997 19989 19992 19994 19996 1.9997 19989 19992 19995 1.9996 19997 19990 19993 19995 19996 19997 19990 19993 19995 19997 9998 Table B 1. Areas under the standardized normal curve, from - to Z 2 0 .08 .07 .06 .05 .04 .03 .02 .01 .00 N .09 .0002 .0003 .0005 .0007 .0010 .0014 .0019 .0026 .0036 .0048 .0003 .0004 .0005 .0007 .0010 .0003 .0004 .0005 .0008 .0011 .0003 .0004 .0006 .0008 .0011 .0003 .0004 .0006 .0008 .0011 .0003 .0004 .0006 0008 .0012 .0003 .0004 .0006 .0009 .0012 .0003 .0005 .0006 .0009 .0013 .0003 .0005 .0007 .0009 .0013 .0003 .0005 .0007 .0010 .0013 -3.4 -3.3 -3.2 -3.1 -3.0 -2.9 -2.8 .0014 .0020 .0027 .0037 .0049 ,0015 0021 ,0028 .0038 .0051 .0015 .0021 .0029 .0039 .0052 .0016 .0022 .0030 .0040 .0054 .0016 .0023 .0031 .0041 .0055 .0017 .0023 .0032 .0043 .0057 .0018 .0024 .0033 .0044 ,0059 .0018 .0025 .0034 .0045 .0060 .0019 .0026 .0035 .0047 .0062 -2.7 -2.6 -2.5 .0064 .0084 .0110 .0143 .0183 .0066 .0087 .0113 .0146 .0188 .0068 .0089 .0116 .0150 .0192 .0069 .0091 .0119 .0154 .0197 .0071 .0094 .0122 .0158 .0202 .0073 .0096 .0125 .0162 .0207 .0075 .0099 .0129 .0166 .0212 .0078 .0102 .0132 .0170 .0217 .0080 0104 .0136 .0174 .0222 .0082 .0107 .0139 .0179 .0228 -2.4 -2.3 -2.2 -2.1 -2.0 0233 .0294 .0367 .0455 .0559 .0239 .0301 .0375 .0465 .0571 0244 0307 0384 0475 .0582 .0250 .0314 .0392 .0485 .0594 .0256 0322 .0401 .0495 .0606 .0262 .0329 .0409 0505 .0618 ,0268 .0336 .0418 .0516 .0630 .0274 .0344 .0427 .0526 .0643 .0281 .0351 .0436 .0537 .0655 .0287 .0359 .0446 .0548 .0668 -1.9 -1.8 -1.7 -1.6 -1.5 .0681 .0823 0985 1170 .1379 .0694 .0838 1003 1190 1401 .0708 0853 .1020 .1210 .1423 .0721 .0869 .1038 1230 1446 .0735 .0885 1056 .1251 1469 .0749 .0901 .1075 .1271 1492 .0764 .0918 .1093 .1292 .1515 .0778 .0934 .1112 .1314 .1539 .0793 .0951 .1131 .1335 .1562 .0808 .0968 .1151 .1357 .1587 -1.4 -1.3 -1.2 -1.1 -1.0 .1611 1867 2148 2451 2776 .1635 .1894 2177 .2483 2810 .1660 1922 .2206 .2514 .2843 .1685 .1949 .2236 2546 2877 -1711 .1977 2266 2578 2912 .1736 2005 .2296 2611 .2946 .1762 .2033 .2327 .2643 .2981 .1788 .2061 .2358 .2676 3015 .1814 2090 2389 2709 .3050 .1841 2119 .2420 .2743 3085 -0.9 -0.8 -0.7 -0.6 -0.5 3300 .3121 .3483 .3859 4247 .4641 .3156 3520 .3897 .4286 .4681 3192 3557 3936 .4325 .4721 3228 3594 3974 .4364 .4761 3264 3632 .4013 .4404 .4801 3336 .3707 4090 .3669 4052 4443 4840 3372 3745 4129 .4522 .4920 3409 .3783 4168 .4562 4960 .3446 .3821 4207 .4602 .5000 -0.4 -0.3 -0.2 -0.1 -0.0 4483 .4880