What is the expected completion time for activity g 26 until the value in Cell E6 is close to 0. com Therefore, the probability that the project will be completed within 26 weeks is 0. (c) What is the probability that the training program can be completed in 26 weeks? The project management provides various statistical methods for reducing the duration of the project completion. 000 6 16 2. 8500. B. b) Use expected time of each activity from part and determine ES, EF, LS, LF, and slack for each activity. Feb 5, 2019 · PERT stands for program evaluation and review technique, which is a method of calculating project completion times both for your own scheduling and for your customers' needs. Assume that the activity times are independent Time in Weeks IMMEDIATE Activity PREDECESSORS 910 11 10 10 16 a) Calculate the expected time and variance for each activity. A-D-F-H A-D-G-H A-C-F-H c. 250 a. These activities have been labeled A through G in the following table, which also shows their estimated completion times (in weeks) and immediate predecessors. The following represents a project that should be scheduled using CPM: b. What is its variance? Question: consider the following PERT/CPM network with estimated times in weeks The three-time estimate approach was used to calculate the expected times and the following table gives the variance for each activity: Activity Variance Activity (Complete the expected task time and variance of -What is the critical path? What is the expected completion time? What is the variance of the project completion time? (Complete the expected task time and variance of time calculations. 9002. Round your answer to 3 decimal places. The critical path of the project is determined to identify the time taken to complete the whole project. Its expected time is: ANSWER 5. Math Statistics and Probability Statistics and Probability questions and answers Consider the following PERT/CPM network with estimated times in weeks А 10 7 B H START FINISH 7 8 The three-time estimate approach was used to calculate the expected times and the following table gives the variance for each activity: Activity Variance Activity Variance Activity Variance A 1. Question: project has been defined to contain the following list of activities along with their required times for completion. Project managers express this in terms of the hours of work it takes to complete a project. D. What is the probability of completing this project within 19 days? (Do not round intermediate calculations. What is the expected completion time of the project? Consider the PERT project with the following data table (time in weeks) and the network diagram below Activity | Preceding Optimistic Most likely Pessimistic Expected Variance activity completion completion completion activity time time time completion time A None 5 6 7. b) What is the expected completion time of the critical path? What is the expected completion time of the other path in the network? c) What is the variance of the critical path? What is the variance of the other path in the network? d) If the time to complete path A–C is normally distributed, what is the probability that this What is the expected completion time for the project? The expected completion time is weeks, which is ---Select--- less greater than 1 year. 32 (e) none of the above Explain your answer. Managing an entire project is a challenging job performed by a project manager; however, before the project goes on With probabilistic time estimates, when we calculate the expected time for an activity, we treat each activity time estimate as a random variable derived from a ______________ probability distribution. Max {Latest completion time (Ax)} where Ax The project team developed the precedence relationships, activity time estimates, and the activity responsibilities shown in the following table: Immediate Predecessors Activity Times (wks) Responsibility Kramer Stewart Start Johnson Taylor Adams Activity ST. From an activity network standpoint, this does not necessarily mean that the paperwork can't begin until the last non-paperwork activity is completed. Jul 10, 2020 · A project is a set of interrelated activities that must be executed in a certain logical sequence to complete the entire task. Draw a network diagram for the activities. 26 days above, the probability of completion was 0. It has the potential to reduce both the time and cost required to complete a project. Dec 24, 2012 · An Activity Network Diagram is a diagram of project activities that shows the sequential relationships of activities using arrows and nodes. Assume that the activity times are ACTIVITY IMMEDIATE PREDECESSOR a m b A — 9 10 11 B — 4 10 16 C A 9 10 11 D B 5 8 11 • Calculate the expected time and variance for each activity. 78 (c) 0. Using the critical path A→C→F→H→J→K, determine the expected completion time for the project. Project management includes the expected time, variance, standard deviation, critical path, and many more. If all these remaining activities are critical, what would be the expected completion time, in days, of the remainder of the project? 7. What is the expected completion time of the critical path? [ A small software development project has four major activities. Round your answer to 2 decimal places. The project manager wishes to reduce the completion time by three weeks. Construct a PERT chart for the project outlined above. What are potential paths and corresponding durations? What is the expected project completion time based on normal time? What is the most economical way and how much will it cost to reduce the completion time of the project by three weeks? Question: The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. Determine the variance and standard deviation for each activity. If the activity variance is 12, what is the expected time? Problem-3: The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. The figure also shows the estimated completion time and immediate predecessor (s) for each activity. Show transcribed image text There are 3 steps to solve this one. B) scope, time frame, and allocated resources. 38). Every activity in a project requires time and resources for its completion. Activity time Activity predecessor * A small manufacturing firm has developed the following list of activities necessary to release a contract for a new plant. Activity Expected Time Immediate Predecessors А. Time (weeks)Activity Preceded By Optimistic Most Likely PessimisticA -- 2 2 4B A 8 12 16C A 4 8 12D B,C 2 4 6E B 4 6 8F A 2 4 6G D 2 4 6H G 2 4 6I E,F,H 2 2 2Requested: (a) Construct a precedence diagram. What is the probability of completing this project within 20 days? (Do not round intermediate calculations. Chapter 13 – Project Scheduling: PERT/CPM problem draw the project network: start finish compute the expected duration and variance of each activity: determine Question: The estimated times and immediate predecessors for the activities in a project at George Kyparis's retinal scanning company are given in the following table. List ALL the tasks in the critical path (s)? c. A list of activities andtheir optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a newcontract are given in the following table:a) Draw the AON networks for these activities. Immediate ActivityProcessor 10 14 10 E, F 10 G, H a) b) c) What is the expected completion time for this project? What variance would be used in finding probabilities of finishing by a certain time? What is 23) An activity has a pessimistic time that is three times as long as its most likely time and five times as long as its optimistic time. What is the probability of completing this project within 22 days? Note: Use Excel's NORM. You need to reduce the activity duration time, and you have determined that the time can be reduced to 10 days, but the cost for the activity would double. If the critical path is CDFG with expected completion time of 42 days. Question: This Corporation is initiating a project consisting of several activities, each with its three-time estimates. The times are estimated and provided in the table below. Study with Quizlet and memorize flashcards containing terms like T Or F: The expected completion time and variance of an activity is approximated by the normal distribution in a PERT analysis. d) What is the probability that Kelle Carpet and Trim will finish the project in 40 days or less? Which of the following formulas is used to compute the latest completion time of an activity, Ay? A. The table also shows what appears to be redundant information consisting of the latest start (LS) and latest finish (LF). What would happen if activity B were revised to take 5 weeks extra? e. What is the probability that the project will take 30 or MORE days to complete? Use the expected project completion time you entered in part c above (rounded to 2 decimal places), and then round your z value to 2 decimal places (e. Activity A takes 7 days with a probability of 50 percent and 11 days with a probability of 50 percent, and so does Activity B. You determine an optimistic completion time of 12 days and a pessimistic scenario of 36 days for a project. d. 67 5. 778 2 5 0. The critical path activities are A, B, D, F, and G. What is the probability that the project will take anywhere between 60 and 65 weeks to complete? (Round to two Sep 9, 2020 · How to calculate project completion times Good project managers deliver on schedule, despite the challenges they encounter. (a) Determine the expected completion time and the variance for each activity (b) Determine the total project completion time and the critical path for the project (c) Determine Early Start (ES), Early Finish (EF), Late Start (LS), and slack for each activity. , T Or F: The three time estimates employed in PERT are optimistic time, average time, and pessimistic time, T or F: In PERT, the earliest start time for an activity is equal to the latest of the earliest Question: The estimated times and immediate predecessors for the activities in a project at George Kyparis’s retinal scanning company are given in the following table. Sep 24, 2023 · You have been asked to assist in project planning for a new systems development project. Begin with Activity A as Oct 6 start date (expected time is in days). What is the expected completion time of this project? What activities are on the critical path? c. Question: . If the activity variance is 12, what is the expected time? a) Calculate the expected time and variance for each activity. 00 I DON'T KNOW YET, An activity has an optimistic time of 11 days, a most likely time of 15 days, and a pessimistic time of 23 days. For that to be accurate, you need to do a thorough job estimating Question: The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. b) Determine the total project completion time and the critical path for the Question A small project consists of three activities: A, B, and C. d) Determine the variance and standard deviation for the project. 75 is __________ with a 99% certainty. the expected completion time of the project is taken to be the sum of the activity times on the shortest path. According to Table above, there are four activities in the project. 0 G 0. c) Determine ES, EF, LS, LF, and slack for each activity. , dependencies) among the project activities [1]. What is the latest possible completion time for task H? Consider the table below. a) What are the estimated expected completion (mean) times (in weeks) for activities A-H? b) What is the standard deviation of each activity? c) What is the critical path for this project network? Here’s the best way to solve it. The critical path method lets you avoid project delays by identifying the tasks that are critical for the project schedule. In this problem, the expected completion time of the critical path, along with the expected completion time of the other path in the network need to be identified. The project has been defined to contain certain activities. DIST function to find the To find the critical path, expected project completion time, and the probability of finishing a project within 20 days using CPM and PERT, calculate the expected time for each activity, identify the longest path of activities, and apply statistical methods to forecast project timelines. What is the probability that the project is finished in 57 weeks or fewer? (Round to two decimals. e. Time (Weeks) Activity Immediate Predecessor am 9 10 4 10 9 10 5 8 b 11 16 11 11 a. e). We know that when we used a project completion of 17. e. PERT was developed in the late 1950's for the U. D) activities, completion times, and incentives. 778 4 14 2. 68 (b) 0. b) A project has an expected completion time of 40 weeks and a standard deviation of 5 weeks. c) Determine the total project completion time and the critical path for the project. The following four activities were identified as being on the critical path of a large project. Diagramming the project workflow and determining the critical path gives you the expected length that everything will take from inception to completion. This can be tricky to understand, so we have included several examples of PERT formulas below. H c. Activity Time estimate weeks Most Likely Pessimistic Optimistic Immediate Predecessors 1 4 A B с D E F G 2 3 6 3 6 3 13 7 7 6 14 12 16 6 B A A,C B E,F 6 8 1 5 6 What is the variance of the project? Knowing the total project completion time allows the determining the earliest start (ES) and latest finish (EF) for each event on the critical path as shown in Table 2. What is the expected completion time for this project? Chapter 16: Project Management Use the following project information for Problems 1 and 2. What is the expected completion time of the critical path? 20 weeks. Calculate the early start and early finish times, late start and late finish times, and slack using the CPM method (ES, EF, LS, LF and slack time calculator). What is the expected project completion Using the PERT method review the following data for a project that should b e scheduled using C P M: The project's objective statement should contain: A) slack time and activities. e) What is the probability of completing the project in less than 40 weeks? f) The Program Evaluation and Review Technique (PERT) is a network model that allows for randomness in activity completion times. To calculate the expected completion time for activity G, locate the optimistic time (a), most likely time (m), and pessimistic time (b) estimates for the activity. e) What is the probability of completing the project in less than 40 weeks? _05. 5 D 1. b) What is the expected completion time of the critical path? What is the expected completion time of the other path in the network? c) What is the variance of the critical path? What is the variance of the other path in the network? d) If the time to complete path A–C is normally distributed, what is the probability that this Study with Quizlet and memorize flashcards containing terms like The critical path of a network is the, With respect to PERT and CPM, slack, PERT analysis computes the variance of the total project completion time as and more. C) strengths and weaknesses of subcontractors. Determine the expected completion time and variance for each activity. The average (deterministic) value is placed on the project network as in the CPM method and the early, late, slack and project completion times are computed as they are in the CPM method. Activity C takes 1 day. b) Determine the d)What is the probability that McGee Carpet and Trim will not finish the project in 50 days or less? a) Determine the expected completion time and variance for each activity. Assume that the activity times are independent. Draw a Network diagram for the activities. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. What is the expected project completion time? (Round your answer to 3 decimal places. Activity A takes 3 days with a probability of 50 percent and 5 days with a probability of 50 percent, and so does Activity B. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. Write the 4 values for each node (ES,EF, LS,LF). What is the expected project completion time? A partially solved PERT problem is detailed in the table below. It is assumed that the project completion time is normally distributed. Draw the network diagram. 1 C, D, E 1 6 G H J 3 - K 5 L 2 K a. With probabilistic time estimates, when we calculate the expected time for an activity, we treat each activity time estimate as a random variable derived from a ______________ probability distribution. Round your answer to 4 decimal places Study with Quizlet and memorize flashcards containing terms like An activity on a PERT network has these time estimates: optimistic = 1, most likely = 2, and pessimistic = 5. b) What is the expected completion time of the critical path? What is the expected… Jan 1, 2021 · Getting a large project completed on schedule requires advanced planning and attention to detail. Question: The estimated times and immediate predecessors for the activities in a project at George Kyparis’s retinal scanning company are given in the following table. What is the expected project completion time? (Do not round intermediate calculations. Show the critical path. a. Study with Quizlet and memorize flashcards containing terms like The critical path in a project is the sequence of activities that, Which of the following statements is correct with respect to a Gantt chart?, What is the relationship between the earliest start time (EST) of an activity and the earliest completion time (ECT) of the activity? and more. What is the critical path and the project's expected completion time? f. Its variance is:, The critical path of a network is the, The three phases involved in the management of large projects are: and more. 8 E Mar 28, 2025 · If you're wondering how to calculate estimated time to completion, it's useful to understand what it fully means. As shown in the table below, a project completion time of 16. Why you selected them? There are 2 steps to solve this one. The network below represents a project being analyzed by May 30, 2024 · What is Estimated Time of Completion? In project management, the estimated time of completion (ETC) is the calculated prediction of how long it will take to finish an ongoing project. B) What is the expected completion time of the critical path? What is the expected completion time of the other path in the network? C) What is the When the three time estimates have been specified, this equation is used to compute the weighted average duration for each activity. Question: consider the following PERT/CPM network with estimated times in weeks The three-time estimate approach was used to calculate the expected times and the following table gives the variance for each activity: Activity Variance Activity Math Statistics and Probability Statistics and Probability questions and answers Consider the following PERT/CPM network with estimated times in weeks А 10 7 B H START FINISH 7 8 The three-time estimate approach was used to calculate the expected times and the following table gives the variance for each activity: Activity Variance Activity Variance Activity Variance A 1. 3 B 4. Calculate the ES, EF, LS, LF, and Slack for each activity. b) Determine which activities are included May 7, 2012 · Question: Consider a project that has been modeled as follows: Activity Immediate Predecessors Optimistic Most Probable Pessimistic A -- 2 5 8 B -- 2 3 7 C -- 5 7 9 D A 7 12 14 E A 3 4 5 F A, B 6 9 12 G C 4 6 8 H C 4 6 8 I E,F,G 5 7 12 J H 12 13 14 K D,I,J 2 3 4 1) What is the expected completion time? Struggling to define your project’s estimated time of completion? Learn more about project completion dates and how to define them in your business. It might be possible to work on some paperwork as early activities are completed. 37) An activity has a pessimistic time that is four times as long as its most likely time and six times as long as its optimistic time. Min {Latest completion time (Ax)} where Ax is all activities receiving input from Ay. An activity network diagram tool is used extensively in and is necessary for the identification of a project’s critical path (which is used to determine the expected completion time of the project). Question: Activity Expected Time Immediate Predecessors A 3 B 4 С 4 A D 5 A E 2 А F 3 C G 2 I 1 B, E C, D, E G H | J N07 WO K 1 L K a. Activity Preceding Time A -- 8 B -- 3 C A 7 D A, B 3 E C 4 F D 6 a. You can use the network below and just label each of the nodes with the corresponding activity. Be sure to include: a) Estimated completion time (ET) b) Earliest completion time (TE) c Apr 8, 2010 · Calculate the expected time for each activity using the formula E x p e c t e d t i m e = O p t i m i s t i c t i m e + 4 × M o s t l i k e l y t i m e + P e s s i m i s t i c t i m e 6. Calculate the expected time for each activity The activities necessary for the completion of this project are listed in the table below along with their completion times in weeks. 1. By analyzing the time required for individual tasks and reviewing historical data from past projects, project managers can estimate the lead time required for project completion with a more realistic estimate An activity has a pessimistic time that is four times as long as its most likely time and six times as long as its optimistic time. TIME IN DAYS Most Likely Pessimistic Activity Successors Optimistic A B # 6 End G End ; End # Construct the network and find the expected completion time of the project (10 marks) (6) What is the probability that the project can be completed in 24 days or less? And what is the probability in 21 days or less marks) (c) Suppose it is now the Question: A) Calculate the