University regulations state that a student cannot fail the same course more than 3 times. Otherwise,...

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University regulations state that a student cannot fail the same course more than 3 times. Otherwise, the student will quit the university. In average a student has a 60% chance to pass the stochastic processes course if taken for the first time. This chance increases to 70% and 80% if the student will have to take it for the second and third time respectively. The course is offered every semester. 1. Represent the problem using Markov chain and specify the states and their classes. 2. How many semesters on the average it takes a student to pass the course? 3. If an average of 15 students takes the course every semester, how many are expected to quit school because of this course every year? University regulations state that a student cannot fail the same course more than 3 times. Otherwise, the student will quit the university. In average a student has a 60% chance to pass the stochastic processes course if taken for the first time. This chance increases to 70% and 80% if the student will have to take it for the second and third time respectively. The course is offered every semester. 1. Represent the problem using Markov chain and specify the states and their classes. 2. How many semesters on the average it takes a student to pass the course? 3. If an average of 15 students takes the course every semester, how many are expected to quit school because of this course every year?

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1 Representation of the problem using Markov chain States State 0 Student has not taken the stochastic processes course State 1 Student has taken the course once and passed State 2 Student has taken t... View the full answer