a) Suppose that whether or not it rains, today edpends on previous weather conditions through the last three days. Show how this system may be analyzed by using a Markov chain. How many states are needed? b) Suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probibility 0.6, be the same as the weather yesterday. Determine P for this Markov chain.
a) Suppose that whether or not it rains, today edpends on previous weather conditions through the last three days. Show how this system may be analyzed by using a Markov chain. How many states are needed? b) Suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probibility 0.6, be the same as the weather yesterday. Determine P for this Markov chain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a) Suppose that whether or not it rains, today edpends on previous weather conditions through the last three days. Show how this system may be analyzed by using a Markov chain. How many states are needed?
b) Suppose that if it has rained for the past three days, then it will rain today with probability 0.8; if it did not rain for any of the past three days, then it will rain today with probability 0.2; and in any other case the weather today will, with probibility 0.6, be the same as the weather yesterday. Determine P for this Markov chain.
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