5. consider the example below, where the states areConditionStateand the transition matrix is01232ΠοGood as newOperable-minimum deteriorationOperable-major deteriorationInoperable and replaced by a good-as-new machinewe found that the steady-state probabilities are213'T1==P =78314001 0713'HARTNOLELBLINO11611 11168 802 2=π2213'I3 =213(a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be usedbefore it must be replaced) by solving a linear system for Moo, M10, 20, and μ30.(b) Find the expected recurrence time for state O directly by the formula Moo1πο=

Given the one-step transition matrix of the Markov chain as P=07811611603418180012121000

Answered: 5. consider the example below, where…

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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Consider the following LP model. Min Z = 3x1 - 2x2 + x3 + 2x4 s.t. x2 + 4x4 = 40 2x1 - x2 + 4x3 + 2x4 = 10 X1, х2, х3, х4 >:0 Artificial standard form of the model is given below. Min Z = 3x1 - 2x2 + x3 + 2x4 + MA2 + MA4 s.t. x2 + 4x4 + S1 = 5 3x1 + x3 + 2x4 - E2 + A2 = 40 2x1 - x2 + 4x3 + 2x4 + S3 = 82 x1 - 2x2 + 2x3 + 2x4 - E4 + A4 = 10 x1, x2, x3, x4, S1, S3, E2, E4, A2, A4 >=0 The following Simplex Table shows the optimal solution of the above model. BasisX1X2X3 X4 s1 S3 E2 E4 A2 A4 RHS Min z 0 0 0 -8 -2 0 -1 0 ( (M+1) -M 30 X3 0 0 1 (28/5) (6/5) 0 (1/5) (-3/5) (-1/5) (3/5) 4 X2 0 10 4 5 S3 0 0 0 -14 -3 1 2 -2 47 X1 10 0 (-6/5) (-2/5) 0 (-2/5) (1/5) (2/5) (-1/5) 12 Answer the following questions according to the above models and the Simplex Table. Which one is the correct CN? Select one: a.(-8 -2 -1 0 (-M+1) -M) b.(2000M M) For which values of b1 the above basis gives the optimal solution? Select the final interval for b1. Select one: a.b1 >= 5/3 b.b1 >= 0 c.b1 <= 35 d.0 <= b1 <=…
4
10.2 Th 20. Consider the mouse in the following maze, which includes "one-way" doors. lat par the in Li inc hy a. 5 b. What fraction of the time does the mouse spend in each of the rooms in the maze? In Exercises 21-26, mark each statement True or False. Justify с. cach answer. 21. (T/F) Every stochastic matrix has a steady-state vector.
Find AB in number 2
Maximize = 3x +2x, +x, 2.x, +x, +x, s150 Subject to 2x, +2x, +8x, s 200 2x, +3x, +x, 5320 with x 20,x, 20,x, 20 4 B Beta -3 -2 -1 x3 1 3 4 5 6 Beta 1 2 3 4 5 6 B Beta 0,5 1 2 3 -3 8 1,5 -0,5 -14 250 50 -2 75 85 100 160 225 150 70 -1 200 320 170 70 x1 x2 x3 x4 x5 x6 Find the initial solution using the Method of the Minimal Element.
1.) This is an Econ - Econometrics question: Let arr86 be a binary variable equal to 1 if a man was arrested during 1986, and zerootherwise. You have a dataset of young men from California who were born in 1960 or1961 and have at least one arrest prior to 1986. You also have data on the proportion ofprior arrests that led to a conviction (pcnv), the average sentence served from priorconvictions in months (avgsen), months spent in prison since age 18 prior to 1986(tottime), months spent in prison in 1986 (ptime86), and the number of quarters (0 to 4)that the man was legally employed in 1986 (qemp86). You estimate the following linearprobability model (standard errors are in parentheses): arr86 = 0.441 - .162pcnv + .0061avgsen - .0023tottime(.017) (.021) (.0065) (.005) - .022ptime86 - .043qemp86(.005) (.005) n= 2725R2=.0474 a) Interpret the coefficient on avgsen, commenting on both magnitude and significance. Based on these results, do longer sentences deter future crime? b) What is the…
- Set up the structural equations
3. For this system, the probability of each task being successful is 0.8. What is the probability of the whole system succeeding? 4. P[W]=0.735 fx,y = {ce-x-> 0 (x, y)>0 otherwise a. What is the constant c? c = 1 b. Prove whether X and Y are independent. Yes 5. A char variable contains 8 bits. When receiving a char on a serial communication line, the change of the char having 8 1's is 0.1. a. b. C. Estimate P[B7] using the Markov Inequality. P[B>7] = 6/7 Estimate P[B7] using the Chebyshev Inequality. P[B > 7] = 1.5 Estimate P[B7] using the Central Limit Theorem. P[B7] 1 (0.8165)
7
1. Suppose that for a stochastic variable X~B(n;p) with the parameters n =10 and p = 30% a) BY HAND (PICTURE MUST BE UPLOADED): Calculate the mean and the standard deviation b) Use IT to determine P(X = 4).
Please solve asap.
13. A researcher estimates the following regression model: Yt = a + ßxt + Ut where yt and xt are both non-stationary variables. Which of the following statements is correct? a) This necessarily leads to spurious results b) The Durbin-Watson d statistic will be larger than the R² c) Including a time trend in the regression specification will provide meaningful results d) Differencing both variables may provide meaningful results but could lose some useful information

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