Consider the graph with 6 vertices given below and with resistances given by the numbersabove each edge. As before, vertices 0 and 5 are absorbing.34-IN21344th5(a) Calculate the total conductance at each vertex and the transition probabilitiesbetween each vertex. Write the transition matrix P. Find poo(b) What is the probability that a walker starting at vertex 1 is absorbed by vertex 0?(c) What is the probability that a walker starting at vertex 3 is absorbed by vertex5?(d) What is the expected number of times that a walker starting at vertex 1 will visitvertex 2?

Answered: Image /qna-images/answer/6051851f-ceee-4212-9d2d-237744969b93.jpg

Answered: Consider the graph with 6 vertices…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(3.) A system contains components connected in parallel as shown in the diagram. If all components operate inderentently, & each component has probability 0.45 of failing What is the minimum number of components that must be connected in parallel so that th Probability that the system operateds exceeds 0.9999? The minimun number of components that must be connected in parallel is.
Is there a link between dark chocolate and weight loss when compared to milk chocolate? A nutritionist gathers 60 people, selected at random, then randomly assigns half of the group to eat a single dark chocolate bar after dinner each night and the other half to eat a single milk chocolate bar after dinner each night for 6 months. Everyone is to keep track of the other food they eat in an app provided. The nutritionist then compares each person’s weight after the 6 months to their weight before eating the different chocolates accounting for the other calories consumed. 12) What type of study does this describe? a) Survey b) Observational study c) Experimental study
(Devore: Section 3.2 #15) Many manufacturers have quality control programs that include inspec- tion of incoming materials for defects. Suppose a computer manufacturer receives circuit boards in batches of five. Two boards are selected from each batch of inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair (1,2) represents the selection of boards 1 and 2 for inspection. (a) List the ten different possible outcomes. (b) Suppose that boards 1 and 2 are the only defective boards in a batch. Two boards are to be chosen at random. Define X to be the number of defective boards observed among those inspected. Find the probability distribution (pmf) of X. (c) Let F denote the cdf of X. Determine F(0), F(1) and F(2); then obtain F(x) for all other x.
A study of armed robbers yielded the approximate transition probability matrix shown below. The matrix gives the probability that a robber currents free, on probation, or in jail would, over a period of a year, make a transition to one of the states. То From Free Probation Jail Free 0.7 0.2 0.1 Probation 0.3 0.5 0.2 Jail 0.0 0.1 0.9 Assuming that transitions are recorded at the end of each one-year period: i) For a robber who is now free, what is the expected number of years before going to jail? ii) What proportion of time can a robber expect to spend in jail? [Note: You may consider maximum four transitions as equivalent to that of steady state if you like.]
A car rental company has two locations. Each week, 80% of the cars rented at location A are returned to location A and the rest location B. Of the cars rented at location B, 30% are returned to location B by the end of the week and the rest to location A. a. Make a transition diagram for this process. b. Write the transition matrix T for this process. cIf 50% of the company's cars start this week at location A, and 50% at location B, find the proportion of cars that will be at each location one week later Label your answers. d. Write and solve a system of equations to find the stable distribution (correct to 3 decimal places) for this Markov process. Show all calculations and label the row operations.
Recently, you were assigned to manage a project for your company. You have constructed a network diagram depicting the various activities in the project (shown below to the right). In addition, you have asked your team to estimate the amount of time that they would expect each of the activities to take. Their responses are shown in the following table: Time Estimates (days) Activity Optimistic Most Likely A 4 B 3 C D E 4 1 3 8 7 5 4 8 Pessimistic 12 10 8 5 9 Start A B E Finish a. What is the expected completion time of the project? The expected completion time is 19 days. (Enter your response as an integer.) b. What is the probability of completing the project in 21 days? Refer to the standard normal table. The probability of completing the project in 21 days is N (Enter your response rounded to four decimal places.)
For a parallel structure of identical components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.09 probability of failure. Complete parts (a) through (c) below. T.... (a) Would it be unusual to observe one component fail? Two components? be unusual to observe one component fail, since the probability that one component fails, than 0.05. It be unusual to observe two components fail, since the probability that two components fail,, is than 0.05. (Type integers or decimals. Do not round.) (b) What is the probability that a parallel structure with 2 identical components will succeed? (Round to four decimal places as needed.) (c) How many components would be needed in the structure so that the probability the system will succeed is greater than 0.9998? (Type a whole number.) O Time Remaining: 02:29:14 Next Left Raht
↑ The 1990 census reported that 32% of the households in Middletown were homeowners and the remainder were renters. During the next decade, 10% of the homeowners became rent and the rest continued to be homeowners. Similarly, 14% of the renters became homeowners and the rest continued to rent (A) Fill in the appropriate transition matrix for this process. Homeowners Homeowners Renters Renters AR NE
Why do zebras have stripes? One hypothesis is that stripes help keep biting flies away. Trinity wants to test this hypothesis with an experiment. She will use 15 horses as the subjects in her experiment, and assign them to 3 treatments, as follows: 5 horses will wear a fabric coat that is printed with zebra stripes, as shown above 5 horses will wear nothing 5 horses will wear a fabric coat that is printed with a solid grey colour Trinity will record a video of each horse for 1 hour. She will use the video to determine the number of biting flies that land on the horse's back. a) What types of experimental group do each of (i), (ii), and (iii) represent? Choose from: Main experimental treatment group Classical control Positive control Negative control b) Why is it important for Trinity to include group (iii) in her study? Provide a brief explanation. Hint: you can describe potential scenarios for results to help explain why group (iii) is needed. c) Can you suggest ONE potential…
edo exercises 17 and 18 in section 8.1 of your textbook, about the small animal who lives in an area with woods and meadows, using the following data:If the animal is in the woods on one observation, then it is twice as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is three times as likely to be in the meadows as the woods on the next observation.Assume that state 1 is being in the meadows and that state 2 is being in the woods.(1) Find the transition matrix for this Markov process. (2) If the animal is initially in the woods, what is the probability that it is in the woods on the next three observations? (3) If the animal is initially in the woods, what is the probability that it is in the meadow on the next three observations?
.1 Certify X gin in a new win... ing.com/Portal/Lesson/lesson_certify Week 8 - FIN-341- Question 1 of 11, Step 1 of 1 Answer X Week 1- BIO-165-5... - Save & Exit Certify Lesson: 6.1 Solving Systems of Linear E... Ⓒ2022 Hawkes Learning X My Citation list 6/2 x W C My books Doxy Leona Doxy Kelsey Selecting an option will display any text boxes needed to complete your answer. How can derivative X 0/11 Correct Use any convenient method to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. = -1 x + 2y y-32= 131 -4x - 6y + 6z = 30 Consumers and Th X 4 Digital Content | Up... O Only One Solution O Inconsistent System O Dependent System b Success Confirmat Textbook Solutions REBECCA BOONE Tables Keypad Keyboard Shortcuts Submit Answer
Activity 1. ( Do It Yourself) Get a die. Roll it 50 times. Record the result of your experiment in a table. The first table is for rolling a die once in 50 times, the second table is for rolling a die twice in 50 times, and the 3rd table is for rolling a die thrice in 50 times.Show the result of your experiment to your teacher. 1" roll 2 roll 3 roll Mezm T"roll 2roll ean 1* roll 1 1 1 2 3 3 4 4 4 5 6 6. 7 10 10 10 50 50 50 On a separate sheet of paper, 1. Make a histogram of the distribution of rolling a die once in 50 times. Whst can you say about the resulting histogram? Answer: 2. Make a histogram of the means of rolling a die twice in 50 times and rolling a die thrice in 50 times. Answer: 3. What can you say about the three histograms? Draw out s conclusion out of the three histograms. Answer:

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