Question

Page 2 of 2 2 A certain community college would like to obtain information about the likelibood that students in various categories will graduate. The "categories" of students in a two-year program are: Graduated, Sophomores, Freshmen, determined that from one year to the next: or Quit Permanently. Based on their large data set from prior years, they have For current sophomores, 40 % will graduate, 30 % remained sophomores, and 30 % quit permanently. For current freshmen, 10 % will graduate, 50 % will become sophomores, and 20 % quit permanently. In the current school year, 50 % of students are sophomores and 50 % are freshmen. . Find the transition matrix and initial vector for this scenario. a. 4 3.5 .3.2 Estimate the percentage of the present students who will be in each "category" by next year b. .o .20 3.2 c. What is the probability that an incoming freshman will eventually graduate? (you'll need some - use a separate page) more room for this

Answer 1

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