Consider 4 distinct vertices , I2, I3 and IA X4 1 For any two distinct...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider 4 distinct vertices ₁, I2, I3 and IA X4 £1 ₁ For any two distinct points p; and p₁, an edge will appear with probability 2/3. And, all edges appear independently. For example, the edge < ₁, 2 > appear with probability 2/3, and is independent with the appearance of the edge < 1,3 >. XA (a) [1 point] What is the probability that is disconnected with all 2,3 and 4? (b) [1 point] What is the probability of getting the following cycle? I1 as follows I2 IA I1 I3 (c) [1 point] What is the probability of getting the following clique? A clique is a graph where any two distinct vertices are connected by a edge. 13 I2 I2 Consider 4 distinct vertices ₁, I2, I3 and IA X4 £1 ₁ For any two distinct points p; and p₁, an edge will appear with probability 2/3. And, all edges appear independently. For example, the edge < ₁, 2 > appear with probability 2/3, and is independent with the appearance of the edge < 1,3 >. XA (a) [1 point] What is the probability that is disconnected with all 2,3 and 4? (b) [1 point] What is the probability of getting the following cycle? I1 as follows I2 IA I1 I3 (c) [1 point] What is the probability of getting the following clique? A clique is a graph where any two distinct vertices are connected by a edge. 13 I2 I2
Expert Answer:
Answer rating: 100% (QA)
a For x1 to be disconnected from x2 x3 x4 the edges x1x2 x1x3 x1x4 must ... View the full answer
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
Students also viewed these accounting questions
-
Consider Example 13 about testing H0: p = 1/3 against Ha: p > 1/3 for the astrology study, with n = 116. Find P(Type II error) for testing H0: p = 1/3 against Ha: p > 1/3 when actually p = 0.50, if...
-
Consider two points that are independently placed on a line of length 10, at locations X and Y. Thus the joint density of X and Y is fX,Y(x,y) = 1/100 for 0 x 10 and 0 y 10, and fX,Y(x,y) = 0...
-
By using mesh analysis, find I1 and I2 in the circuit depicted in Fig 10.77 j4 3 2 3 j2 30/20 v -/6
-
In Exercises determine whether Rolle's Theorem can be applied to on the closed interval [a, b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that '(c) =...
-
American International Automotive Industries (AIAI) manufactures auto and truck engine, transmission, and chassis parts for manufacturers and repair companies in the United States, South America,...
-
Homes in a certain neighbourhood have recently sold for $220000, $242000, $236000 and $3500000. A potential buyer wants to know the average selling price in the neighbourhood. Which of the mean,...
-
What are the advantages and weaknesses of the CMM (Capability Maturity Model) approach?
-
You are a new summer intern working for a major professional services firm. During your lunch break each day, you and a fellow intern, Bob, eat at a local sandwich shop. One day, Bobs girlfriend...
-
Everywhere Deliver Service paid $129,000 for a group purchase of land, building, and equipment. At the time of the acquisition, the land had a market value of $75,000, the building $43,000 and the...
-
Specify the following queries on the COMPANY relational database schema shown in Figure 5.5 using the relational operators discussed in this chapter. Also show the result of each query as it would...
-
3. Solve the system of linear equations using the three methods: by matrices, by Gauss-Jordan elimination, and by Jacobi iteration. 2.4/1+3.612+4.813 = 1.2 %3D -3.911 +1.3/2 -6.513 = 2.6...
-
A block of inertia \(m\) is attached to a light string wound around a uniform disk also of inertia \(m\) (Figure P11.74). The disk has radius \(R\) and rotates on a fixed horizontal axle through its...
-
A uniform disk of mass \(m\) and radius \(R\) lies in a vertical plane and is pivoted about a point a distance \(\ell_{\mathrm{cm}}\) from its center of mass (Figure P15.58). When given a small...
-
Two coherent sources of water waves of frequency \(f\) and speed \(c\) are a distance \(d\) apart and equal in amplitude. Nodal lines exist where the path lengths from the sources differ by an odd...
-
Given that the speed of sound waves in dry air is \(343 \mathrm{~m} / \mathrm{s}\), determine the wavelengths at the lower and upper ends of the audible frequency range \((20 \mathrm{~Hz}-20...
-
When your mother shouted at you to come inside when you were a kid, how could you hear her when you were around a corner?
-
Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown below. The interest rate is 6%. (Do not round intermediate calculations. Round "Duration" to 4 decimal...
-
The Adjusted Trial Balance columns of a 10-column work sheet for Webber Co. follow. Complete the work sheet by extending the account balances into the appropriate financial statement columns and by...
-
The life X, in hours, of a certain kind of radio tube has a probability density function given by (a) What is the probability that a tube will survive 250 hours of operation? (b) Find the expected...
-
Consider the variation of the Wyndor Glass Co. example represented in Fig. 13.5, where the second and third functional constraints of the original problem (see Sec. 3.1) have been replaced by 9x12 +...
-
Consider the traveling salesman problem shown below, where city 1 is the home city (a) List all the possible tours, except exclude those that are simply the reverse of previously listed tours....
-
The topological optimization is discussed in chapter 1. Here, we will consider a topological optimization problem for a chemical process plant. The layout of the chemical process plant has been shown...
-
For installation and operation of a pipeline for an incompressible fluid, the total cost (in dollars per year) can be represented as follows: \[C=C_{1} D^{1.5} L+C_{2} m \Delta p / ho\] where...
-
An adiabatic two-stage compressor is used to compress a gas, which is cooled to the inlet gas temperature between the stages, the theoretical work can be expressed by the following equation:...
Study smarter with the SolutionInn App