The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund according to this pattern: 75% of those who contribute one year will contribute the next year; 15% of those who do not contribute one year will contribute the next. Give the transition matrix. Forty-five percent of last year’s graduating class contributed this year. What percent will contribute next year? What percent will contribute in two years?

The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund according to this pattern: 75% of those who contribute one year will contribute the next year; 15% of those who do not contribute one year will contribute the next. Give the transition matrix. Forty-five percent of last year’s graduating class contributed this year. What percent will contribute next year? What percent will contribute in two years?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The alumni of Athabasca University contribute (C) or do not contribute (NC) to the alumni fund

according to this pattern: 75% of those who contribute one year will contribute the next year; 15% of

those who do not contribute one year will contribute the next.

Give the transition matrix.

Forty-five percent of last year’s graduating class contributed this year. What percent will

contribute next year?

What percent will contribute in two years?

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