In this paper, a stochastic model for estimation was developed; the study programme was modeled by a finite Markov chain with 4 transient and two absorbing states. The probability transition matrix was constructed. The students' progression towards the next stage of the study programme was estimated, the expected time that a student spends at a particular stage as well as the expected duration of the study is determined. The probation, withdrawal and graduation probabilities were also obtained. The data was analyzed using R-Software.