3. A precedence diagram network is shown below. The optimistic, most likely, and pessimistic durations are shown for each activity (To, Tm, Tp). What is the probability (in percent) of completing the project in 70 days? A 2, 4, 6 B 15, 20, 25 15, 18, 28 9, 13, 20 E 19, 22, 26 F 20, 26, 33 G 10, 17, 26 H 5, 6, 7

3. A precedence diagram network is shown below. The optimistic, most likely, and pessimistic durations are shown for each activity (To, Tm, Tp). What is the probability (in percent) of completing the project in 70 days? A 2, 4, 6 B 15, 20, 25 15, 18, 28 9, 13, 20 E 19, 22, 26 F 20, 26, 33 G 10, 17, 26 H 5, 6, 7

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter19: Probability And Statistics In Engineering

Section: Chapter Questions

Problem 18P

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Similar questions

Recently, you were assigned to manage a project to remodelthe seminar room for your company. You have constructed anetwork diagram depicting the various activities in the project(Figure 7.13). In addition, you have asked your team to estimatethe amount of time that they would expect each of the activitiesto take. Their responses are shown in the following table:Time Estimates (Days)Activity Optimistic Most Likely PessimisticA 5 8 11B 4 8 11C 5 6 7D 2 4 6E 4 7 10 a. What is the expected completion time of the project?b. What is the probability of completing the project in 21 days?c. What is the probability of completing the project in 17 days?
A Return Period or Recurrance Interval is equivalent to the inverse of the probability of the event ocurring?
In a CPM network, the critical path has five activities. Their durations are tabulated next. Duration Activity Optimistic (To) Most Likely (Tm) Pessimistic (Tp) A 2 5 9 B 3 4 8 C 4 6 9 D 5 10 20 E 3 5 9 Compute the following: The probability that the project will finish by the end of day 32 The probability that the project will finish by the end of day 34 The probability that the project will finish before day 30 The probability that the project will finish on day 32 The probability that the project will finish no later than day35 The probability that the project will finish at least 2 days early The probability that the project will finish at least 2 days late The probability that the project will finish on day 32 ±1 day The completion date with at least a 90% confidence level
Develop a logic network for the sequence of activities listed in the table. Calculate the ES, EF, LS and LF times for all activities. What is the project duration? What are the critical activities? Activity Duration PIB 5 4 None 10 2 None 15 4 5 20 3 5 25 5 10 30 1 15 35 3 25 40 7 20, 30, 35
3. Consider a local area network with 10 stations (nodes). Assume that, at a given moment, each nodecan be active with probability ? = 0.1.(a) What is the probability that all five stations are active?(b) What is the mean number of active stations at a given moment?
A work-mode-choice model is developed from data acquired in the field in order to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive alone (DL), automobile shared-ride(SR), and bus (B). The utility functions are estimated as: UDL = 2.6 – 0.3(costDL) – 0.02(travel time DL) USR = 0.7 – 0.3(costSR) – 0.04(travel time SR) UB = –0.3(costB) – 0.01(travel time B) where cost is in dollars and time is in minutes. The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes. How many people will use the shared-ride mode from a community of 4500 workers, assuming the shared-ride option always consists of three individuals sharing costs equally?
3. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean 3.2 minutes and a standard deviation of 1.6 minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller’s window is: a. at most 2.7 minutes; b. more than 3.5 minutes; c. at least 3.5 minutes but less than 3.4 minutes.
what is the value of the 1st distribution at AB? a. 0 b. 41.67 c. -41.67 d. 53.57 What is the value of the first distribution at BA? a. 19.98 b. -19.98 c. 14.29 d. -14.29 What is the value of the first distribution at BC? a. 19.98 b. -19.98 c. 14.29 d. -14.29
Should design life be the same as return period for design conditions?
For the following schedule, draw the node network, perform the CPM calculations,mark the critical path, and complete the table.
A small town has residential zones, A and B, producing 900 and 600 work trips respectively. Zone C, D, and E are work opportunity zones attracting 900, 400, and 200 trips. The travel times between the zones and the actual observed trips are as above. Develop a set of travel time factors (fij) for use in a gravity model that will produce a reasonable approximation of the observed trips. Start with an initial value of fij =1 for all links Please clearly show your calculations and provide any explanations/assumptions you may have
Q1. Develop statistical model to predict number of trips using regression analysis technique. Number of workers (X) Number of trips(Y) 2 6 4 8 7 10 7 11