(a) Explanation Given: The following melody, BAGABBB AAABBB BAGABBB AABAG Explanation: Let the transition matrix for the provided information be denoted by P . 3 notes A, B, and G would correspond to a 3 × 3 transition matrix. The first row would give the probability of the note A occuring after a note A, a note B, and a note G. The second row would give similar probabilities for the occurrence of note B and the third row would give the occurrence of note G. The total number of the following notes are: A = 10 B = 12 G = 3 Use the provided informtaion to set up the transition matrix as P . P = [ 3 10 2 5 3 10 5 < (b) To determine The equilibrium vector for the transition matrix obtained in (a).

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 10.2, Problem 44E

(a)

To determine

The transition matrix for the melody provided.

(b)

To determine

The equilibrium vector for the transition matrix obtained in (a).

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Chapter 10.2, Problem 43E

Chapter 10.3, Problem 1E

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Chapter 10 Solutions

Finite Mathematics (11th Edition)

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The transition matrix for the melody provided.

Solution Summary: The author explains how to determine the transition matrix for the melody, BAGABBB AAABBB AABAG.

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The transition matrix for the melody provided.

The equilibrium vector for the transition matrix obtained in (a).

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Chapter 10 Solutions