Please answer everything and you will get a thumbs up. Thank you!

The following optimistic (a), pessimistic (b), and most likely (m) time estimates, in days, for each task have been given for a project. ta OP Task A B C D E F G H Predecessors (none) (none) A, B DE F G a 10 6 3 8 3 3 5 5 m 12 10 5 12 4 4 8 7 b 15 16 10 17 6 6 13 10 1. Compute the t and o2 values for each task in the table above. 2. Construct a PERT/CPM project activity diagram for this project. 3. Analyze the project activity diagram by calculating all of the activity labels (ES, EF, LS, LF) 4. Determine the following: a. The critical path activities: b. The expected project completion time c. Project time variance: L j d. Project time standard deviation: 5. Using your results from (4), compute a 95% confidence interval for the project completion time, to one decimal place. Confidence interval: From | To 6. Using the Normal Distribution table on the next page, what is the probability that the project will take more than 50 days to complete? Areas under the Normal Distribution, from 0 to z 02 0.04 N 0.0000 0.01 0.02 0.03 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.0000 0.0398 0.0793 0.1179 0.1554 0.0040 0.0438 0.0832 0.1217 0.1591 0.0080 0.0120 0.0478 0.0517 0.0871 0.0910 0.1255 0.1293 0.1628 0.1664 0.0160 0.0557 0.0948 0.1331 0.1700 0.0199 0.0596 0.0987 0.1368 0.1736 0.0239 0.0636 0.1026 0.1406 0.1772 0.0279 0.0675 0.1064 0.1443 0.1808 0.0319 0.0714 0.1103 0.1480 0.1844 0.0359 0.0753 0.1141 0.1517 0.1879 0.5 0.6 0.7 0.8 0.9 0.1915 0.2257 0.2580 0.2881 0.3159 0.1950 0.2291 02611 0.2910 0.3186 0.1985 0 2324 02642 02939 0.3212 0.2019 0.2357 0.2673 0.2967 0.3238 0 2054 02389 02704 02995 0.3264 02088 02422 02734 0.3023 0.3289 02123 0.2454 0.2764 0.3051 0.3315 0.2157 0.2486 0.2794 0.3078 0.3340 02190 0.2517 02823 0.3106 0.3365 0.2224 0.2549 0.2852 0.3133 0.3389 1.0 1.1 1.2 1.3 1.4 0.3413 0.3643 0.3849 0.4032 0.4192 0.3438 0.3665 0.3869 0.4049 0.4207 0 3461 0 3686 0.3888 0.4066 0.4222 0.3485 0.3708 0.3907 0.4082 0.4236 0.3508 03729 0.3925 0.4099 0.4251 0.3531 0.3749 0.3944 0.4115 0.4265 0.3554 0.3770 0.3962 0.4131 0.4279 0.3577 0.3790 0.3980 0.4147 0.4292 0.3599 0.3810 0.3997 0.4162 0.4306 0 3621 0.3830 0.4015 0.4177 0.4319 1.5 1.6 1.7 1.8 1.9 0.4332 0.4452 0.4554 0.4641 0.4713 0.4345 0.4463 0.4564 0.4649 0.4719 0.4357 0.4474 0.4573 0.4656 0.4726 0.4370 0.4484 0.4582 0.4664 0.4732 0.4382 0.4495 0.4591 0.4671 0.4738 0.4394 0.4505 0.4599 0.4678 0.4744 0.4406 0.4515 0.4608 0.4686 0.4750 0.4418 0.4525 0.4616 0.4693 0.4756 0.4429 0.4535 0.4625 0.4699 0.4761 0.4441 0.4545 0.4633 0.4706 0.4767 2.0 2.1 2.2 2.3 2.4 0.4772 0.4821 0.4861 0.4893 0.4918 0.4778 0.4826 0.4864 0.4896 0.4920 0.4783 0.4830 0.4868 0.4898 0.4922 0.4788 0.4834 0.4871 0.4901 0.4925 0.4793 0.4838 0.4875 0.4904 0.4927 0.4798 0.4842 0.4878 0.4906 0.4929 0.4803 0.4846 0.4881 0.4909 0.4931 0.4808 0.4850 0.4884 0.4911 0.4932 0.4812 0.4854 0.4887 0.4913 0.4934 04817 0.4857 0.4890 0.4916 0.4936 2.5 2.6 2.7 2.8 2.9 0.4938 0.4953 0.4965 0.4974 0.4981 0.4940 0.4955 0.4966 0.4975 0.4982 0.4941 0.4956 0.4967 0.4976 0.4982 0.4943 0.4957 0.4968 0.4977 0.4983 0.4945 0.4959 0.4969 0.4977 0.4984 0.4946 0.4960 0.4970 0.4978 0.4984 0.4948 0.4961 0.4971 0.4979 0.4985 0.4949 0.4962 0.4972 0.4979 0.4985 0.4951 0.4963 0.4973 0.4980 0.4986 0.4952 0.4964 0.4974 0.4981 0.4986 3.0 0.4987 0.4987 0.4987 0.4988 0.4988 0.4989 0.4989 0.4989 0.4990 0.4990