The Following Data Consists of a Matrix of Transition Probabilities

question 87

Essay

The following data consists of a matrix of transition probabilities (P)of three potential diseases, and the initial incidence of each disease π(0).Assume that each state represents a disease (Disease 1, Disease 2, Disease 3, respectively)and the transition probabilities represent changes from one checkup to the next.What is the incidence of the three diseases in the next period?
P = π(0)= (.2, .3, .5)

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Definitions:

Absorption

The process by which substances are taken up from the environment into the bloodstream or into cells.

Modification

The process of making changes or alterations to something, often to improve it or to adjust it to different conditions.

Imitation

The action of using someone or something as a model and attempting to replicate their behavior, actions, or features.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched, typically developed during infancy.