1. 1050 employees work in an office complex. On any given day, some employees report to...

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1. 1050 employees work in an office complex. On any given day, some employees report to work and the rest are absent. Management knows that if an employee is present today, there is a 77% chance that he will report to work tomorrow. It is also known that if an employee is absent today, there is a 52% probability that he will be absent tomorrow. Suppose 760 employees showed up for work today. Assume that the state vector has the number of employees present as the first component and the number of absent employees as the second component. a) Find the transition matrix of this process. b) Predict the number of employees present in the office complex within 5 days. c) What the distribution of assistance should look like after a long amount of time. 1. 1050 employees work in an office complex. On any given day, some employees report to work and the rest are absent. Management knows that if an employee is present today, there is a 77% chance that he will report to work tomorrow. It is also known that if an employee is absent today, there is a 52% probability that he will be absent tomorrow. Suppose 760 employees showed up for work today. Assume that the state vector has the number of employees present as the first component and the number of absent employees as the second component. a) Find the transition matrix of this process. b) Predict the number of employees present in the office complex within 5 days. c) What the distribution of assistance should look like after a long amount of time.

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