• If the chain is in state 1 on a given observation, then it is five times as likely to be in state 2 as t be in state 1 on the next observation. • If the chain is in state 2 on a given observation, then it is twice as likely to be in state 1 as to be in state 2 on the next observation.

• If the chain is in state 1 on a given observation, then it is five times as likely to be in state 2 as t be in state 1 on the next observation. • If the chain is in state 2 on a given observation, then it is twice as likely to be in state 1 as to be in state 2 on the next observation.

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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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

A Markov chain has two states.
• If the chain is in state 1 on a given observation, then it is five times as likely to be in state 2 as to
be in state 1 on the next observation.
If the chain is in state 2 on a given observation, then it is twice as likely to be in state 1 as to be
in state 2 on the next observation.
Which of the following represents the correct transition matrix for this Markov chain?
O None of the others are correct
O [5/6 1/6
[ 2/3 1/3]
[1/6 1/3
[5/6 2/3
O [1/6 5/6
1/3 2/3
O [2/3 1/3]
1/6 5/6
O [1/6 5/6]
[2/3 1/3]

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