A Continuous-Time Markov Chain Consisting of Two States. Consider a machine that works for an exponential amount of time having mean 1/ before breaking down; and suppose that it takes an exponential amount of time with mean 1/µ to repair the machine. If the machine is in the operational condition at time 0, what is the probability that it will be working at time t = 5 ? HINT: write down the backward Kolmogorov differential equations and solve it.

A Continuous-Time Markov Chain Consisting of Two States. Consider a machine that works for an exponential amount of time having mean 1/ before breaking down; and suppose that it takes an exponential amount of time with mean 1/µ to repair the machine. If the machine is in the operational condition at time 0, what is the probability that it will be working at time t = 5 ? HINT: write down the backward Kolmogorov differential equations and solve it.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please show all the work clearly, thank you!
27.If both eigenvalues are negative the critical point
PLEASE DO PART D ONLY. I HAVE SOLVED THE REST, I JUST CAN'T SOLVE PART D. beta 1 is a non random constant. Please solve d part explain step by step
Pedestrians approach a crossing from the left and right sides following independent Poisson processes withaverage arrival rates of λL = 5 and λR = 1 arrivals per minute. Each pedestrian then waits until a lightis flashed, at which time all waiting pedestrians must cross to the opposite side (either from left to right orfrom right to left). Assume that the left and right arrival processes are independent, that the light flashesevery T = 2 minutes, and that crossing takes zero time – it is instantaneous.1. What is the probability that in a particular crossing, there are total 10 pedestrian and they are allcrossing from left to right?
Please show me the steps
A pseudo-random signal (S) of -3 or 3 is transmitted over a noisy channel. S=-3 is transmitted with probability of 1/3. The received signal, Y, is the sum of the sent signal and the noise, N. The noise is modeled as a normal Gaussian with E[N]=0,var(N)=4 . The received signal is decoded as -3 for Y≤−0.5 and 3 for Y>−0.5. a. What is the probability of error in this system? b. To improve the system, each signal is transmitted three times and output is determine by majority rule (2 or more). What is the new probability of error?
5.
In time-series decomposition, seasonal factors are calculated by Multiple Choice O O O O O SFt (Y) (CMA). SFt= Y/CMAt (CMA+) x (SFt) =Yt. SFt = Yt - CMAt. None of the options are correct.
2
Solve the system of ODES given by x' x. Sketch a graph of the eigenvectors and plot 13 some sample trajectories. Is the origin an attractor, a repeller or a saddle point? Give your final solution in exact form with e.
5. An n x n matrix may have n or less eigenvalues