can you please show all steps and explain how you solve for part f. I am not sure how to calculate the probability

Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Time (weeks) m b Time (weeks) Immediate Predecessor(s) a Activity a m b Activity A B 9 G 5 4 1 1 3 1 5 A A C D E F 9 14 7 2 8 9 5 1 5 Immediate Predecessor(s) C, E F F D, G, H 1,J 3 1 5 8 3 H | J K 12 4 3 B 5. 21 a) The expected (estimated) time for activity C is 13.83 weeks. (Round your response to two decimal places.) b) The variance for activity C is 2.25 weeks (Round your response to two decimal places.) c) Based on the calculation of the estimated times, the critical path is A - C - F - H-J-K d) The estimated time for the critical path is 44 weeks. (Round your response to two decimal places.) e) The activity variance along the critical path is 12.17 weeks. (Round your response to two decimal places.) f) Using the standard normal table, the probability that Hopkins Hospitality will finish the project in 42 weeks or less is (Enter as a probability and round your response to three decimal places) =hows the total area under the normal curve for a point that is Z standard deviations to the right of the mean. Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 | 0.5120 0.5160 | 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5754 0.2 0.5793 0.5832 0.58710.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6591 0.6628 0.66640.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.6 0.7258 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.75180.7549 0.7 0.7580 0.7612 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.78230.7852 0.8 0.7881 0.7910 0.7939 0.79670.7996 0.8023 0.8051 0.8079 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.88100.8830 1.2 0.8849 0.8869 0.8888 | 0.8907 0.8925 0.8944 0.8962 0.89800.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.91310.9147 0.9162 0.9177 1.4 0.91920 9207 09222109236 10.925110.92651 0.92791 0.9292 10 9306 10 9319 1.5 1.6 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9332 0.9345 0.9357 0.93700.93820.9394 0.9406 0.9418 0.9430 0.9441 0.9452 0.9463 0.9474 0.9485 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9554 0.9564 0.9573 0.95820.9591 0.9599 0.9608 0.96160.9625 0.9633 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9693 0.9700 0.9706 0.9713 0.9719 0.9726 | 0.9732 0.9738 0.9744 0.9750 0.97560.9762 0.9767 0.9773 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808 0.98120.9817 0.98210.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.98540.9857 0.9861 0.98650.9868 0.98710.9875 0.98780.9881 0.9884 | 0.9887 0.9890 0.9893 0.9896 0.9898 0.99010.9904 0.9906 | 0.9909 0.9911 | 0.9913 0.9916 0.9918 0.9920 0.9922 0.9925 0.99270.9929 0.9931 | 0.9932 0.9934 0.9936 0.9938 0.9940 0.9941 0.9943 0.9945 | 0.9946 0.9948 0.9949 0.99510.9952 0.9953 0.9955 0.9956 0.99570.99590.99600.99610.9962 0.9963 0.9964 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.99800.99800.9981 0.9981 0.9982 0.99830.9983 0.9984 0.9984 | 0.9985 0.9985 0.9986 0.9986 0.9987 0.9987 0.9987 | 0.9988 0.9988 0.9989 0.9990 0.99890.99900.9990