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