A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

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Answer 1

Question

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

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Answer 2

Question

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

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Answer 3

Question

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

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Answer 4

Question

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

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Answer 5

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

Answer 6

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

Answer 7

Chapter 8.1, Problem 32E

(a)

To determine

To calculate: A stochastic matrix displaying the following transitions. A retailer sells three brands of cereal. A survey is taken of 5000 people who buy cereal weekly from this retailer. Crispy Flakes loses 12% of its customers to Crunchy Nuggets and 19% to Toasty Cinnamon Twists every week. Crunchy Nuggets loses 16% of its customers to Crispy Flakes and 10% of its customers to Toasty Cinnamon Twists, and Toasty Cinnamon Twists loses 20% of its customers to Crispy Flakes and 14% to Crunchy Nuggets.

Answer 8

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

Answer 9

(b)

To determine

To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 8.1 - 1. Is a stochastic matrix? Ch. 8.1 - 2. Learning Process An elementary learning process...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 4E Ch. 8.1 - In Exercises 1-6, determine whether or not the...Ch. 8.1 - Prob. 6E Ch. 8.1 - In Exercises 7–12, write a stochastic matrix...Ch. 8.1 - Prob. 8E

Solution Summary: The author calculates a stochastic matrix displaying the following transitions. A survey is taken of 5000 people who buy cereal weekly from this retailer.

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To calculate: The number of people who will buy Toasty Cinnamon Twists in two weeks given that, this week, 1500 people bought Crispy Flakes. 1500 bought Crunchy Nuggets, and 2000 people bought Toasty Cinnamon twists.

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