Class Standings Suppose that the following data were obtained from the records of a certain two-year college: Ofthose who were freshmen (F) during a particular year, 80% became sophomores (S) the next year and 20% dropped out (D). Of those who were sophomores during a particular year, 90% graduated (G) by the next year and 10% dropped out.
a. Set up the absorbing stochastic matrix with states D, G, F, S that describes this transition.
b. Find the stable matrix.
c. Determine the probability that an entering freshman will eventually graduate.
d. Determine the expected number of years that a student entering as a freshman will attend the college before either dropping out or graduating.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
Mymathlab Plus Pearson Etext -- Standalone Access Card -- For Finite Mathematics & Its Applications With Integrated Review Format: Access Card Package
- Find the steady state matrix for each stochastic matrix in Exercises 16. 1. [25253575] 2. [1+21222] 3. [0.30.160.250.30.60.250.30.160.5] 4. [0.30.50.20.10.20.70.80.10.1] 5. [1000010000100001] 6. [12291441516131441516291441516291415]arrow_forwardExplain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning