6. Consider the following network configuration.Job1Job2Job3Job4Job5Predecessorsnone11,22,34,3Pa101015116Pm131218158pb1614221812a) Draw networkb) Find μ and σ²c) Determine E[T] and V[T]

a. The network based on the given precedence:JobPredecessorsJob 1-Job 21Job 31,2Job 42,3Job…

Answered: 6. Consider the following network…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In 1.54Pathfinding, we consider the a path with fixed start and end points on a grid. Thepaths may move right and up on the grid only. Suppose we have points A = (a1, a2) B = (b1, b2) C = (c1, c2) D = (d1, d2)where a1 < b1 < c1 < d1 and a2 < b2 < c2 < d2.(a) Write an expression for the probability that a random path from A to D will pass throughboth B and C.(b) Write an expression for the probability that a random path from A to D will pass throughB, but not C.(c) Write an expression for the probability that a random path from A to D will pass throughneither B nor C.(d) Find the probability a path from (0, 0) passes through (9, 9), but not (5, 5) or (7, 7).
Solve the following problems and show your complete solutions. Write it on a paper and do not type your answer.
#22 sec 7.1
20. Determine whether the graphs G and H in Figure 12.76 are isomorphic. G: 21 U3 22 Us U5 27 U6 ug H: V4 V2 V6 V1 V8 Figure 12.76: The graphs in Exercise 20 V3 07 V5
Exercise 4.2.1 Compute u v where: a. u= b. u= 2 3 1 u 1 1 2 -3-4 c. u = d. = = 3 5 6 -5 -8-8 e. u = f. u= a b C , =0
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2 Exercise 5.1.4 Let u = and w = Show that span{u, v, w} = span{u,v}. V =
The figure below shows the possible routes from city A to city M as well as the cost (in dollars) of a trip between each pair of cities (note that if no arc joins two cities it is not possible to travel non-stop between those two cities). A traveler wishes to find the lowest cost option to travel from city A to city M. (see image) What is the cost of the connection between nodes K and I? A. 9 B. 11 C. 16 D. 21 E. 26

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6. Consider the following network configuration. Job1 Job2 Job3 Job4 Job5 Predecessors none 1 1,2 2,3 4,3 Pa 10 10 15 11 6 Pm 13 12 18 15 8 pb 16 14 22 18 12 a) Draw network b) Find μ and σ² c) Determine E[T] and V[T]