Question

Here is data on the flow of students through a school 70% of freshmen pass and become sophomores, 20% fail and repeat as freshmen, 10% drop out 80% of sophomores pass and become juniors, 10% fail and repeat as sophomores, 10% drop out 80% of juniors pass and become seniors, 10% fail and repeat as juniors, 10% drop out 84% of seniors pass and graduate, 6% fail and repeat as seniors, 10% drop out Treat this as a 6-state Markov chain with "graduated" and "dropped out" being absorbing states. Use an appropriate matrix tool to answer the following questions. (Give your answers correct to 3 decimal places.) (a) What fraction of freshmen graduate within 4 years? (b) What fraction of freshmen graduate within 5 years? (c) What fraction of freshmen eventually graduate? (d) What fraction of juniors eventually graduate? (e) Assume that a student enters the school as a senior. What is the expected value for the number of years that person will spend in school before either graduating or dropping out? years

Answer 1

O-36363 Sahemen 90 여。