Data for the progression of college students at a St. Joseph College are summarized in the following matrix of transition probabilities: States Graduate Drop out Freshman Sophomore Junior Senior Graduate 1 0 0 0 0 0 Drop out 0 1 0 0 0 0 Freshman 0 0.15 0.10 0.75 0 0 Sophomore 0 0.15 0 0.05 0.80 0 Junior 0 0.10 0 0 0.10 0.8 Senior 0.8 0.05 0 0 0 0.15 a. What states are absorbing states? b. Interpret the transition probabilities for a sophomore.

Data for the progression of college students at a St. Joseph College are summarized in the following matrix of transition probabilities: States Graduate Drop out Freshman Sophomore Junior Senior Graduate 1 0 0 0 0 0 Drop out 0 1 0 0 0 0 Freshman 0 0.15 0.10 0.75 0 0 Sophomore 0 0.15 0 0.05 0.80 0 Junior 0 0.10 0 0 0.10 0.8 Senior 0.8 0.05 0 0 0 0.15 a. What states are absorbing states? b. Interpret the transition probabilities for a sophomore.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 42E

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States	Graduate	Drop out	Freshman	Sophomore	Junior	Senior
Graduate	1	0	0	0	0	0
Drop out	0	1	0	0	0	0
Freshman	0	0.15	0.10	0.75	0	0
Sophomore	0	0.15	0	0.05	0.80	0
Junior	0	0.10	0	0	0.10	0.8
Senior	0.8	0.05	0	0	0	0.15