M.Sc students of the Department of statistics, FUTA are expected to do course work for a year and write their thesis the following year before graduating. A student has a probability of 0.25 of quitting during a given year, a 0.15 probability of having to repeat the year and a 0.6 probability of finishing the year. Using the description of the states below
State 1 : Coursework Student
State 2: Thesis writing Student
State 3 : Quitting Student
State 4 : Graduating Student
Write a transition matrix for the students
Partition the state-space into equivalent space
Find the prob that a coursework student will graduate.