The registrar of a law school has compiled the following statistics on the progress of the school's students working toward the LLB degree: Of the first-year students in a particular year, 85% successfully complete their course of studies and move on to the second year, whereas 15% drop out of the program; of the second-year students in a particular year, 92% go on to the third year, whereas 8% drop out of the program; of the third-year students in a particular year, 98% go on to graduate at the end of the year, whereas 2% drop out of the program.

Construct the transition matrix associated with the Markov process.

Please round the answers to the nearest thousandth, if necessary.

Find the steady-state matrix.

Determine the probability that a beginning law student enrolled in the program will go on to graduate.

Question

The registrar of a law school has compiled the following statistics on the progress of the school's students working toward the LLB degree: Of the first-year students in a particular year, 85% successfully complete their course of studies and move on to the second year, whereas 15% drop out of the program; of the second-year students in a particular year, 92% go on to the third year, whereas 8% drop out of the program; of the third-year students in a particular year, 98% go on to graduate at the end of the year, whereas 2% drop out of the program.
​
Construct the transition matrix associated with the Markov process.
​
Please round the answers to the nearest thousandth, if necessary.
​  ​
Find the steady-state matrix.
​  ​
Determine the probability that a beginning law student enrolled in the program will go on to graduate.

Quizplus · Accepted Answer

The Answer of The registrar of a law school has compiled the following statistics on the progress of the school's students working toward the LLB degree: Of the first-year students in a particular year, 85% successfully complete their course of studies and move on to the second year, whereas 15% drop out of the program; of the second-year students in a particular year, 92% go on to the third year, whereas 8% drop out of the program; of the third-year students in a particular year, 98% go on to graduate at the end of the year, whereas 2% drop out of the program.
​
Construct the transition matrix associated with the Markov process.
​
Please round the answers to the nearest thousandth, if necessary.
​  ​
Find the steady-state matrix.
​  ​
Determine the probability that a beginning law student enrolled in the program will go on to graduate.

The Registrar of a Law School Has Compiled the Following