Explanation Given Information: According to the statement, the half of consumers had switched to brand B in next year as rest of the consumers were stick to brand A . Similarly, three quarters of brand B consumers stuck to brand B and the rest were switched with brand A . Formula used: The matrix P whose i j th entry p i j is called the transition matrix associated with the system. And P 2 is the two-step transition matrix for the system. On the other hand, multiply the matrix by itself to obtain P 2 . Calculation: Consider the statement that “the half of consumers had switched to brand B in next year as rest of the consumers were stick to brand A . Similarly, three quarters of brand B consumers stuck to brand B and the rest were switched with brand A ”. The transition probability matrix is given below where 1 stands for “brand A ” and 2 stands for “brand B ”

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Author: Costenoble

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Chapter 8, Problem 33RE

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To calculate: The associated Markova transition matrix P where state 1 represent using brand A and state 2 represent using brand B.

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Chapter 8, Problem 32RE

Chapter 8, Problem 34RE

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Chapter 8 Solutions

EBK FINITE MATH AND APPLIED CALCULUS

Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 2E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 8E Ch. 8.1 - In Exercises 118, describe the sample space S of...Ch. 8.1 - Prob. 10E

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The associated Markova transition matrix P where state 1 represent using brand A and state 2 represent using brand B .

Solution Summary: The author calculates the associated Markova transition matrix P, where state 1 represent using brand A.

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To calculate: The associated Markova transition matrix P where state 1 represent using brand A and state 2 represent using brand B.

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