(Solved): Here is data on the flow of students through a school. 70% of freshmen pass and become sophomores, ...

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 83% of seniors pass and graduate, 7% 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?