LINK ANALYSIS 3 4 Figure 5: Graph with four vertices Referring to Figure 5, answer the followings. 1. Analyze the figure and write down the column stochastic matrix for the graph.
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- 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 0.25 probability of failure. Complete parts (a) through (c) below. (a) Would it be unusual to observe one component fail? Two components? It be unusual to observe one component fail, since the probability that one component fails, is 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.)Question 1 Consider an investor's choice of a farm unit in the Corn Belt, one in the Califormia Central Valley, or the one in the Great Plains region. An investor added these three assets in one portfolio. The portfolio composed of equal proportions of the three investments. Use the information in the table below to answer the questions that follows (show all your work for partial credits). Investment Alternatives Corn Belt (1) Central Valley (2) Great Plains (3) Exp. Return n-0.14 0.12 n-0.07 Std. Dev. O-0.08 o-0.05 oy-0.01 Weight in Portfolio w-1/3 wz-1/3 wy-1/3 Correlation Among Investment 1 and 2 (p2)-0.30 1 and 3 (pu) --0.40 2 and 3 (s) --0.10 Portfolio Data for Financial Servicing Analysis Under Risk a. Calculate the expected retum of the portfolio. b. Calculate the variance and the standard deviation of the portfolio. c. Calculate the variance and standard deviation of the portfolio assuming that the correlation among the investments is all equal to 0. d. Calculate the variance…3. Use Monte Carlo simulation to simulate the sum of 100 rolls of a pair of fair dice.
- A.Explain the five application of simulation B.Discuss the procedure for Monte Carlo simulation(8) Every year, each employee at a large company must select one of two healthcare plans. It is expected that 15% of the employees currently using plan A will switch to plan B and that 25% of the employees currently using plan B will switch to plan A. Out of the company's 1000 employees, 450 are currently enrolled in plan A. (a) Use a stochastic matrix to predict how many employees will be enrolled in each plan next year. (b) Use a stochastic matrix to predict how many employees will be enrolled in each plan in five years.In a binomial model, give an example of a stochastic process that is both a martingale and Markov.
- During registration at Tech every quarter, students in theDepartment of Management must have their coursesapproved by the departmental advisor. It takes the advisoran average of five minutes (exponentially distributed) toapprove each schedule, and students arrive at the adviser’s office at the rate of 10 per hour (Poisson distributed). Com-pute L, Lq, W, Wq, and . What do you think about this system? How would you change it?Please show steps and solutions to solve problemTabulate the differences between Deterministic from Stochastic effects in terms of features and examples.
- Please answer the question in the file attached. I do not understand the concept, so please include as much detail as possible.Either a mixed column or mixed row strategy is given. Use the given payoff matrix and find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix. Also determine the resulting expected payoff.See attachment 11.3 6