The 3 × 3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10 % , 60 % and 30 % respectively. For children of H parents, 50 % becomes H, 40 % become M and 10 % become L. For the children of M parents, 40 % become H, 30 % become M and 30 % become L. For children of L parents, 30 % become H, 50 % become M and 20 % become L.

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Answer 1

Question

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

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Answer 2

Question

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

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Answer 3

Question

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

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Answer 4

Question

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

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Answer 5

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 6

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 7

Chapter 8, Problem 9RE

(a)

To determine

To calculate: The 3×3 stochastic matrix which describe that currently the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 8

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 9

(b)

To determine

To calculate: The percentage of the children who have high incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 10

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 11

(c)

To determine

To calculate: The percentage of the population who have low incomes if the people of a certain community having high income (H), medium income (M), low income (L) are 10%, 60% and 30% respectively. For children of H parents, 50% becomes H, 40% become M and 10% become L. For the children of M parents, 40% become H, 30% become M and 30% become L. For children of L parents, 30% become H, 50% become M and 20% become L.

Answer 12

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Answer 13

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Answer 14

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Answer 15

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 explains the 3times 3 stochastic matrix which describe the provided conditions.

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