Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the following questions: 1. Find P(2). ... ... 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations?

Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the following questions: 1. Find P(2). ... ... 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations?

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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In this question you will find the steady-state probability distribution for the regular transistion matrix below with 3 states A, B, and C. A В с 0.4 0.4 0.2 A В 0.5 0.0 0.5 0.1 0.8 0.1 Give the following answers as fractions OR as decimals correct to at least 5 decimal places. What is the long term probability of being in state A? What is the long term probability of being in state B? What is the long term probability of being in state C?