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[From Meyer 1970] The following (somewhat simple-minded) weather forecasting is used by an amateur forecaster. Each day is classified as "wet" or "dry" and the probability that any given day is the same as the preceding one is assumed to be a constant p (0

[From Meyer 1970] The following (somewhat simple-minded) weather forecasting is used by an amateur forecaster. Each day is classified as "wet" or "dry" and the probability that any given day is the same as the preceding one is assumed to be a constant p (0

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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3. [From Meyer 1970] The following (somewhat simple-minded) weather forecasting is used by an amateur forecaster. Each day is classified as "wet" or "dry" and the probability that any given day is the same as the preceding one is assumed to be a constant p (0 < p < 1). Based on past records, it is supposed that January 1 has a probability of B of being "dry." Letting Br=probability (that the nth day of the year is "dry"), obtain an expression for Bn in terms of B and p. Also evaluate lim Bn and interpret your results.
Transcribed Image Text:3. [From Meyer 1970] The following (somewhat simple-minded) weather forecasting is used by an amateur forecaster. Each day is classified as "wet" or "dry" and the probability that any given day is the same as the preceding one is assumed to be a constant p (0 < p < 1). Based on past records, it is supposed that January 1 has a probability of B of being "dry." Letting Br=probability (that the nth day of the year is "dry"), obtain an expression for Bn in terms of B and p. Also evaluate lim Bn and interpret your results.
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