using python to solve Job Mobility The lawyers at a law firm are either associates or partners. At the end of each year, 30% of the associates leave the firm, 20% are promoted to partner, and 50% remain associates. Also, 10% of the partners leave the firm at the end of each year. Assume that a lawyer who leaves the firm does not return. Draw the transition diagram for this Markov process. Label the states A, P, and L. Set up a stochastic matrix for the Markov process. Find the state of the matrix that changes no more.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Job Mobility The lawyers at a law firm are either associates or partners. At the end of each year, 30% of the associates leave the firm, 20% are promoted to partner, and 50% remain associates. Also, 10% of the partners leave the firm at the end of each year. Assume that a lawyer who leaves the firm does not return.

  1. Draw the transition diagram for this Markov process. Label the states A, P, and L.

  2. Set up a stochastic matrix for the Markov process.

  3. Find the state of the matrix that changes no more.

  4. In the long run, what percent of the lawyers will be associates?

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