Question No 3 A small project is composed of 7 activities whose time estimates are listed in the table below. activities are identified by their beginning (i) and ending (i) node numbers. Activity (i- j) Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time (weeks) 7 1-2 1 1 1-3 7 1-4 2 2 8 2- 5 1 1 1 3-5 2 14 4-6 8 5-6 3 15 a) Draw the network diagram of activities in the project. b) Find the expected duration and variance of each activity .What is the expected project length? c )Calculate the variance and standard deviation of the project length. What is the probability that the project will be completed ? i) at least 4 weeks earlier than expected time. i1) no more than 4 weeks later than expected time.

Question No 3 A small project is composed of 7 activities whose time estimates are listed in the table below. activities are identified by their beginning (i) and ending (i) node numbers. Activity (i- j) Optimistic Time (Weeks) Most Likely Time (Weeks) Pessimistic Time (weeks) 7 1-2 1 1 1-3 7 1-4 2 2 8 2- 5 1 1 1 3-5 2 14 4-6 8 5-6 3 15 a) Draw the network diagram of activities in the project. b) Find the expected duration and variance of each activity .What is the expected project length? c )Calculate the variance and standard deviation of the project length. What is the probability that the project will be completed ? i) at least 4 weeks earlier than expected time. i1) no more than 4 weeks later than expected time.

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Description: Question No 3A small project is composed of 7 activities whose time estimates are listed in the table below.activities are identified by their beginning (1) and ending (j) node numbers.Activity(i- j)Optimistic Time(Weeks)Most Likely Time(Weeks)Pessi

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), 17.2 22.1 18.5 17.2 18.6 14.8 21.7 15.8 16.3 22.8 24.1 13.3 16.2 17.5 19.0 23.9 14.8 22.2 21.7 20.7 13.5 15.8 13.1 16.1 21.9 23.9 19.3 12.0 19.9 19.4 15.4 16.7 19.5 16.2 16.9 17.1 20.2 13.4 19.8 17.7 19.7 18.7 17.6 15.9 15.2 17.1 15.0 18.8 21.6 11.9 (a) Compute the sample mean, variance, and standard deviation of the number of concurrent users. (b) Estimate the standard error of the sample mean. (c) Compute the five-point summary and construct a boxplot. (d) Compute the interquartile range. Are there any outliers? (e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim
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A network provider investigates the load of its network. The number of concurrent users isrecorded at Seventy -seven locations (thousands of people),55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.156.1 56.1 56.8 56.8 57.0 57.0 57.0 57.8 57.8 57.8 57.957.9 57.9 58.8 58.8 58.8 59.8 59.8 59.8 62.2 62.2 63.863.8 63.8 63.9 63.9 63.9 64.7 64.7 64.7 65.1 65.1 65.165.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.7 68.768.7 69.0 70.4 70.4 71.2 71.2 71.2 73.0 73.0 73.1 73.174.6 74.6 74.6 74.6 79.3 79.3 79.3 79.3 83.0 83.0 83.0i. Construct a grouped frequency distribution for the data using five classes. ii. Compute the sample mean, variance, and standard deviation of the number ofconcurrent users.iii. Construct a frequency histogram for the datab) It is reported that the number of concurrent users follows a positive skew distribution.Does the histogram support this claim?
Question 1“PhysicalFun” is a physical center which opens 24 hours per day. Each member of “PhysicalFun” has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in “PhysicalFun” in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours.(a) What are the average and standard deviation of weekly charge of a member?(b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2.(c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in “PhysicalFun” would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the…
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From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 a) Define the hypothesis null, H0 and hypothesis alternative, H1.b) Given below are means and standard deviation for some of the employees. Calculate thestandard deviation for Employee B and D.