Question: 2 (1 point) Note: In this problem, use the method you learned in last week's tutorial. You can find the tutorial worksheet on Brightspace. In
2
(1 point) Note: In this problem, use the method you learned in last week's tutorial. You can find the tutorial worksheet on Brightspace. In an office complex, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 50% chance that she will be absent tomorrow. (a) Find the probability matrix for this scenario. Make your first column/row about being at work and your second column/row about being absent. (b) If an employee was at work today, what is the probability that she will be at work two days from now? (c) Find the steady-state vector. (1 point) Note: In this problem, use the method you learned in last week's tutorial. You can find the tutorial worksheet on Brightspace. In an office complex, on any given day some employees are at work and the rest are absent. It is known that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 50% chance that she will be absent tomorrow. (a) Find the probability matrix for this scenario. Make your first column/row about being at work and your second column/row about being absent. (b) If an employee was at work today, what is the probability that she will be at work two days from now? (c) Find the steady-state vector
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