You Are Given a Transition Matrix P A)The Steady-State Distribution Vector Is

question 144

Multiple Choice

You are given a transition matrix P. Find the steady-state distribution vector. $$P = \left[ \begin{array} { c c c } \frac { 2 } { 3 } & \frac { 1 } { 3 } & 0 \\\frac { 2 } { 3 } & \frac { 1 } { 3 } & 0 \\\frac { 2 } { 3 } & 0 & \frac { 1 } { 3 }\end{array} \right]$$

• A)The steady-state distribution vector is \(\left[ \begin{array} { l l l }
• 0 & 0 & 1
• \end{array} \right]\)
• B) The steady-state distribution vector is \(\left[ \begin{array} { l l l }
• \frac { 2 } { 3 } & 0 & \frac { 1 } { 3 }
• \end{array} \right]\)
• C) The steady-state distribution vector is \(\left[ \begin{array} { l l l }
• \frac { 2 } { 3 } & \frac { 1 } { 3 } & 0
• \end{array} \right]\)
• D) The steady-state distribution vector is \(\left[ \begin{array} { l l l }
• 0 & \frac { 1 } { 3 } & \frac { 2 } { 3 }
• \end{array} \right]\)
• E) The steady-state distribution vector is \(\left[ \begin{array} { l l l }

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Definitions:

Radial Cleavage

A type of embryonic development in which the cells divide parallel or perpendicular to the polar axis, resulting in a radially symmetrical embryo.

Echinoderms

A phylum of marine animals characterized by radial symmetry and a unique water vascular system, including starfish and sea urchins.

Amphibians

Cold-blooded vertebrates that can live both in water and on land, such as frogs, toads, salamanders, and newts.

Mesoderm

The middle layer of an embryo in early development, which gives rise to muscles, bones, and other related structures.