The Registrar of a Law School Has Compiled the Following

question 109

Essay

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.

---

Definitions:

Online Friends

Individuals who form relationships through internet-based platforms, often without meeting in person, typically through social media or gaming.

Marketing To Children

Refers to the strategies and tactics employed by businesses to promote and sell their products or services to children.

Unhealthy Eating Habits

describe patterns of eating that negatively affect an individual's health, often involving excessive or insufficient consumption of certain foods.

Media And Social Movements

The role of communication platforms in facilitating, shaping, or obstructing the goals of social change initiatives.