60. The following is the transition probability matrix of a Markov chain with states1, 2, 3, 4P=.4.2.25.2.3 .2 .1.2 .2 .425 50.1 .4 .3If Xo = 1(a) find the probability that state 3 is entered before state 4;(b) find the mean number of transitions until either state 3 or state 4 is entered.

The transition probability matrix of a markov chain with states 1, 2, 3, and 4 is given as:

Answered: 60. The following is the transition…

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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Pls help with below homework. Customer arrival follows a Poisson distribution. The rate is 1 job per day. The organization can process one customer per day at the beginning of the day. The organization holds 2 waiting rooms for customers. Therefore, in total there can't be more than 3 customers at the organization. (1 at service and 2 waiting). As a discrete-time Markov chain provide the transition probability matrix.
Q17. Suppose M is a stochastic matrix representing the probabilities of transitions each month. Compute the matrix of compounded transition probabilities for 3 months into the future, or M³. (Note, prior to multiplying matrices, the given components of M must be used to fill in the missing components [**] such that M is a stochastic matrix.) M = 0.55 ** ** 0.90 What is m22 in the matrix M³? (Round to 3 decimal places.)
Please don't provide handwritten solution.
7
Solve bout the volume of securities sold by a brokerage firm, using the following data:
3. A discrete Markov model has state space equal to E {0, 1, 2}. The transition probabilities p are independent of r and recorded in the matrix P defined below. .7 .2 .1 P = .1 .6 .3 1 Assume that Lynn is in state 0 at time 0, and that i = .04. (a.) Determine the probability that Lynn is in state 0 at time 3. (b.) Determine the probability that Lynn transitions from state 1 at time 3 to state 2 at time 4.
5. consider the example below, where the states are Condition State and the transition matrix is 0 1 23 2 Πο Good as new Operable-minimum deterioration Operable-major deterioration Inoperable and replaced by a good-as-new machine we found that the steady-state probabilities are 2 13' T1= = P = 78314 00 1 0 7 13' HARTNO LELBLINO 1 16 1 1 1 1 16 8 8 0 2 2 = π2 2 13' I3 = 2 13 (a) Find the expected recurrence time for state 0 (i.e., the expected length of time a machine can be used before 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 Moo 1 πο =
What is the transaction probability p22 value ?
1. You will address a Decision Analysis problem as described below using the tools discussed in class, and make a recommendation to the decision maker. In this problem, you will notice that “the chance that the antidumping tax will be imposed is p, where p is derived from the third and eighth digits of your student number”. To find the p to use in your submission,work as follows:• Let s3 and s8 be the third and eighth digits, respectively, of your student number. For example, if your student number is 21209459, then s3 = 2 and s8 = 9.• If s3 ≤ 3, then set s3 := s3 + 3. For example, if s3 = 2, then set s3 to 5.• If s3 ≥ 8, then set s3 := s3 − 2. For example, if s3 = 9, then set s3 to 7.• Let p = 0.s3s8 as a decimal number. For example, if s3 = 5 and s8 = 9, then you wouldget p = 0.59.AAA Electronics has contracted to supply half a million TabletPC systems to CostCoStores in 90 days at a fixed price. Each TabletPC system requires a High Speed Northbridge chip (“HSN chip”) in order to…
explanation needed for 11)
For the following Markov models: a ito dove b) find the stationary probability distribution on paper, SUre 5A An ion channel can be in either open or closed state. If it is open, then it has probability 0.1 of closing in 1 microsecond; if closed, it has probability 0.3 of opening in 1 microsecond. 5B An individual can be either susceptible or infected, the probability of infection for a susceptible person is 0.05 per day, and the probability an infected person becoming susceptible is 0.12 per day. 5C The genotype of an organism can be either normal (wild type) or mutant. Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
4

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