You Are Given a Transition Matrix P $$P = \left[ \begin{array} { c c c } 0.3 & 0 & 0.7 \\1 & 0 & 0 \\0 & 0.6 & 0.4\end{array} \right]$$

question 26

Multiple Choice

You are given a transition matrix P. Find the steady-state distribution vector. $$P = \left[ \begin{array} { c c c } 0.3 & 0 & 0.7 \\1 & 0 & 0 \\0 & 0.6 & 0.4\end{array} \right]$$

• A)The steady-state distribution vector is \(\left[ \frac { 11 } { 43 } \frac { 32 } { 43 } \quad \frac { 11 } { 43 } \right]\)
• B) The steady-state distribution vector is \(\left[ \frac { 35 } { 86 } \quad \frac { 15 } { 43 } \frac { 21 } { 86 } \right]\)
• C) The steady-state distribution vector is \(\left[ \begin{array} { l l l }
• \frac { 15 } { 43 } & \frac { 21 } { 86 } & \frac { 35 } { 86 }
• \end{array} \right]\)
• D) The steady-state distribution vector is \(\left[ \frac { 25 } { 86 } \quad \frac { 13 } { 43 } \frac { 35 } { 86 } \right]\)
• E) The steady-state distribution vector is \(\left[ \frac { 21 } { 86 } \quad \frac { 15 } { 43 } \frac { 35 } { 86 } \right]\)

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Definitions:

Utilitarianism

An ethical theory that evaluates actions in terms of their outcomes, specifically the greatest good for the greatest number of people.

Greatest Good

The highest level of benefit or welfare for the largest number of individuals or the general population.

Informed Consent

A process by which a participant voluntarily confirms their willingness to participate in a study or procedure, after understanding all its relevant aspects.

Therapeutic Misconception

The misunderstanding among participants in clinical research that the primary purpose of a clinical trial is to benefit them individually, rather than to gather data for the advancement of medical knowledge.