In the project network presented below numbers on each arrow refer to the

In the project network presented below numbers on

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82. In the project network presented below, numbers on each arrow refer to the expected time and standard deviation in weeks for that particular activity. For example, "8,2" indicates an activity with an expected time of 8 and a standard deviation of two weeks.For this project, determine each of the following:(A) the activities which are on the critical path(B) the expected project duration(C) the probability that the project will be completed in 29 weeks or less
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83. Determine the amount of slack in each of a project's activities (presented below), and identify those that are on the critical path. 84. Given the network diagram below, determine the probability that the project will finish within 26 weeks of its start. Times on the diagram are in weeks.
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85. A project consists of nine major activities, as shown below. There are three separate paths in the network: a-c-f, b-d-g, and e-h-i.(A) What is expected project duration time?(B) Determine the probability that the project will take more than 35 weeks to complete. (All times are in weeks.) 86. Activity E has an optimistic time of 9 days, a most likely time of 12 days, and a pessimistic time of 15 days. Estimate its expected time and standard deviation.
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Feedback: Use standard mean and variance formulas. 87. Prepare a crashing plan for the following project that will reduce the project duration by three weeks.
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