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Q6) A junior college has freshmen and sophomore students. 80% of the freshmen successfully complete their year and go on to become sophomores, 10% drop out and 10% fail and must repeat their freshman year. Among the sophomores 85% graduate, 5% drop

Q6) A junior college has freshmen and sophomore students. 80% of the freshmen successfully complete their year and go on to become sophomores, 10% drop out and 10% fail and must repeat their freshman year. Among the sophomores 85% graduate, 5% drop

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Q6) A junior college has freshmen and sophomore students. 80% of the freshmen successfully complete their year and go on to become sophomores, 10% drop out and 10% fail and must repeat their freshman year. Among the sophomores 85% graduate, 5% drop out and 10% fail and must repeat their sophomore year. Set up the transition matrix and find the probability an entering freshman graduates within 3 years.
Transcribed Image Text:Q6) A junior college has freshmen and sophomore students. 80% of the freshmen successfully complete their year and go on to become sophomores, 10% drop out and 10% fail and must repeat their freshman year. Among the sophomores 85% graduate, 5% drop out and 10% fail and must repeat their sophomore year. Set up the transition matrix and find the probability an entering freshman graduates within 3 years.
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