Table 14-3 The Following Data Consists of a Matrix of Transition Probabilities

question 6

Multiple Choice

Table 14-3
The following data consists of a matrix of transition probabilities (P) of three office locations (A,B,C) within a large company and how employees shift from one location to the other from year to year.The company CEO would like to understand the movement of employees over time and the long-run proportion of employees in each location.Assume that there is always a total of 3000 employees.
A B C
P = π(0) = [1000, 1000, 1000)
-Using the data given in Table 14-3, how many employees do we expect in location A two years from now?

• A)1000
• B)1400
• C)1420
• D)1500

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Definitions:

Posterior Probabilities

These are the probabilities that are computed after taking into account the relevant evidence or data, particularly in the context of Bayesian inference.

Expected Monetary Value

A calculation used in decision-making that multiplies the potential outcomes by their respective probabilities to get an average outcome value.

Optimal Act

A decision or action that yields the best outcome from all possible alternatives.

Environmental Packaging

Packaging designed to minimize environmental impact, often through the use of recyclable or biodegradable materials.