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Please help me, I've been stuck on this so long :( Please give answer to 3 decimal places Here is data on the flow of

Please help me, I've been stuck on this so long :( Please give answer to 3 decimal places

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Here is data on the flow of students through a school. 7m uffreshmen 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% ofjuniors 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? .353 x (b) What fraction of freshmen graduate within 5 years? .541 x (c) what fraction of freshmen eventually graduate? .615 x (d) What fraction ofjuniors eventually graduate? .791 x (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? 1.09 x years

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