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Determine the 3-step stohastic matrix of the Markov chain! Deter mine the distributionn of the Markov Chain, iF it is known that TIo =0,22! %3D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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0.3
0,6
0.5
0.2
2
0,7
0,2
0.3
Determine the 3-step stohastic matrix of the Markov chain!
Deter mine the distribution of the Markov Chain, iF it is known
that TIo =0,22!

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A rainy year is 80% likely to be followed by a rainy year and a drought is 60% likely to be followed by another drought year. Suppose the rainfall condition is known for the initial year to be ‘rainy’. Then the vector ? 0 = 10 gives probabilities of rainy and drought for known initial year.(a) Write out the stochastic matrix.(b) Find the probabilities for:(i) Year 1(ii)
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(Transition Probabilities)must be about Markov Chain. Any year on a planet in the Sirius star system is either economic growth or recession (constriction). If there is growth for one year, there is 70% probability of growth in the next year, 10% probability recession is happening. If there is a recession one year, there is a 30% probability of growth and a 60% probability of recession the next year. (a) If recession is known in 2263, find the probability of growth in 2265. (b) What is the probability of a recession on the planet in the year Captain Kirk and his crew first visited the planet? explain it to someone who does not know anything about the subject
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