Explanation Given: Transition matrix say P = [ .15 .15 .70 .42 .38 .20 .16 .28 .56 ] . Formula used: V P = V Here, V is the equilibrium vector and P is the transition matrix. Calculation: Let equilibrium vector be V = [ v 1 v 2 v 3 ] . Since, equilibrium vector satisfies the relation V P = V , we have [ v 1 v 2 v 3 ] [ .15 .15 .70 .42 .38 .20 .16 .28 .56 ] = [ v 1 v 2 v 3 ] [ .15 v 1 + .42 v 2 + .16 v 3 .15 v 1 + .38 v 2 + .28 v 3 .70 v 1 + .20 v 2 + .56 v 3 ] = [ v 1 v 2 v 3 ] Now equate both sides: .15 v 1 + .42 v 2 + .16 v 3 = v 1 ; .15 v 1 + .38 v 2 + .28 v 3 = v 2 and .70 v 1 + .20 v 2 + .56 v 3 = v 3 .85 v 1 − .42 v 2 − .16 v 3 = 0 ; .15 v 1 − .62 v 2 + .28 v 3 = 0 and .70 v 1 + .20 v 2 − .44 v 3 = 0 Now, Add second and third equations obtained above to get the first equation. So, there is only two equations overall. .15 v 1 − .6 v 2 + .28 v 3 = 0 …...…... (1) .70 v 1 + .20 v 2 − .44 v 3 = 0 …...…... (2) Also, from the property of equilibrium vector that the sum of all its entries must be equal to unity: v 1 + v 2 + v 3 = 1 …...…... (3) Now there is three equations and three unknowns, which can be calculated. [ 0.15 − 0.6 0.28 0.70 0.20 − 0.44 1 1 1 ] [ v 1 v 2 v 3 ] = [ 0 0 1 ] Apply Gauss elimination method, [ 0

Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

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Chapter 9.5, Problem 27E

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To calculate: The equilibrium vector of the transition matrix [.15.15.70.42.38.20.16.28.56].

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Chapter 9.5, Problem 26E

Chapter 9.5, Problem 28E

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Mathematics with Applications, Books a la Carte, and MyLab Math with Pearson eText - Title-Specific Access Card Package (12th Edition)

Ch. 9.1 - Checkpoint 1 (a) Give the probability distribution...Ch. 9.1 - Checkpoint 2 Find the expected value of the number...Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E

Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Prob. 39E Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - 44. Physical Science One of the few methods that...Ch. 9.1 - Prob. 43E Ch. 9.1 - Find the expected number of returns per...Ch. 9.2 - Prob. 1CP Ch. 9.2 - Prob. 2CP Ch. 9.2 - Prob. 3CP Ch. 9.2 - Prob. 4CP Ch. 9.2 - Prob. 5CP Ch. 9.2 - Prob. 6CP Ch. 9.2 - Prob. 7CP Ch. 9.2 - Prob. 8CP Ch. 9.2 - Prob. 9CP Ch. 9.2 - Prob. 10CP Ch. 9.2 - Checkpoint 10 Solve the problems in Example 14. Ch. 9.2 - Prob. 12CP Ch. 9.2 - Prob. 13CP Ch. 9.2 - Prob. 14CP Ch. 9.2 - Prob. 1E Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Evaluate the given factorials, permutations, and...Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - Prob. 11E Ch. 9.2 - Prob. 12E Ch. 9.2 - Prob. 13E Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Prob. 16E Ch. 9.2 - Prob. 17E Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Use a calculator to find values for Exercises...Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Use the multiplication principle to solve the...Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Prob. 30E Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.2 - Prob. 35E Ch. 9.2 - Prob. 36E Ch. 9.2 - 37. Define permutation in your own words. Ch. 9.2 - Prob. 38E Ch. 9.2 - Prob. 39E Ch. 9.2 - Prob. 40E Ch. 9.2 - Prob. 41E Ch. 9.2 - Prob. 42E Ch. 9.2 - Prob. 43E Ch. 9.2 - Prob. 44E Ch. 9.2 - Prob. 45E Ch. 9.2 - Prob. 46E Ch. 9.2 - Prob. 47E Ch. 9.2 - Prob. 48E Ch. 9.2 - Prob. 49E Ch. 9.2 - Prob. 50E Ch. 9.2 - Prob. 51E Ch. 9.2 - Prob. 52E Ch. 9.2 - Prob. 53E Ch. 9.2 - Prob. 54E Ch. 9.2 - Prob. 55E Ch. 9.2 - Prob. 56E Ch. 9.2 - Prob. 57E Ch. 9.2 - Prob. 58E Ch. 9.2 - Prob. 59E Ch. 9.2 - Prob. 60E Ch. 9.2 - Prob. 61E Ch. 9.2 - Prob. 62E Ch. 9.2 - Prob. 63E Ch. 9.2 - Prob. 64E Ch. 9.2 - Prob. 65E Ch. 9.2 - Prob. 66E Ch. 9.2 - Prob. 67E Ch. 9.2 - Prob. 68E Ch. 9.2 - Prob. 69E Ch. 9.2 - Prob. 70E Ch. 9.2 - Prob. 71E Ch. 9.2 - Prob. 72E Ch. 9.3 - Checkpoint 1 The ski club has 8 women and 7 men....Ch. 9.3 - Checkpoint 2 A batch of 15 granite slabs is mined,...Ch. 9.3 - Checkpoint 3 Find the probability of being dealt a...Ch. 9.3 - Checkpoint 4 Martha, Leonard, Calvin, and Sheila...Ch. 9.3 - Checkpoint 5 Evaluate (a) n = 3; (b) n = 6. Ch. 9.3 - Prob. 6CP Ch. 9.3 - Prob. 1E Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Find the probability that the 2-card hand in...Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - Prob. 20E Ch. 9.3 - Prob. 21E Ch. 9.3 - Prob. 22E Ch. 9.3 - Natural Science A shipment contains 8 igneous, 7...Ch. 9.3 - Prob. 24E Ch. 9.3 - Prob. 25E Ch. 9.3 - Prob. 26E Ch. 9.3 - 27. Example 16 in Section 9.2 shows that the...Ch. 9.3 - Prob. 28E Ch. 9.3 - Prob. 29E Ch. 9.3 - Prob. 30E Ch. 9.3 - Prob. 31E Ch. 9.3 - Prob. 32E Ch. 9.3 - For Exercises 32–34, refer to Example 6 in this...Ch. 9.3 - For Exercises 32–34, refer to Example 6 in this...Ch. 9.3 - Prob. 35E Ch. 9.3 - Prob. 36E Ch. 9.3 - Prob. 37E Ch. 9.3 - Prob. 38E Ch. 9.4 - Checkpoint 1 Find the probability of obtaining ...Ch. 9.4 - Checkpoint 2 According to the study in Example 1,...Ch. 9.4 - Prob. 3CP Ch. 9.4 - Prob. 4CP Ch. 9.4 - Prob. 5CP Ch. 9.4 - Prob. 1E Ch. 9.4 - Prob. 2E Ch. 9.4 - Prob. 3E Ch. 9.4 - Prob. 4E Ch. 9.4 - Prob. 5E Ch. 9.4 - Prob. 6E Ch. 9.4 - Prob. 7E Ch. 9.4 - Prob. 8E Ch. 9.4 - Prob. 9E Ch. 9.4 - Prob. 10E Ch. 9.4 - Prob. 11E Ch. 9.4 - Prob. 12E Ch. 9.4 - Prob. 13E Ch. 9.4 - Prob. 14E Ch. 9.4 - Prob. 15E Ch. 9.4 - Prob. 16E Ch. 9.4 - Prob. 17E Ch. 9.4 - Prob. 18E Ch. 9.4 - Prob. 19E Ch. 9.4 - Prob. 20E Ch. 9.4 - Prob. 21E Ch. 9.4 - Labor Force According to data from the US. Bureau...Ch. 9.4 - Prob. 23E Ch. 9.4 - Prob. 24E Ch. 9.4 - Prob. 25E Ch. 9.4 - Prob. 26E Ch. 9.4 - Prob. 27E Ch. 9.4 - Prob. 28E Ch. 9.4 - Prob. 29E Ch. 9.4 - Prob. 30E Ch. 9.4 - Prob. 31E Ch. 9.4 - Prob. 32E Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.4 - Prob. 35E Ch. 9.4 - Prob. 36E Ch. 9.4 - Prob. 37E Ch. 9.4 - Prob. 38E Ch. 9.4 - Prob. 39E Ch. 9.4 - Prob. 40E Ch. 9.4 - Prob. 41E Ch. 9.4 - Prob. 42E Ch. 9.4 - Prob. 43E Ch. 9.4 - Prob. 44E Ch. 9.5 - Prob. 1CP Ch. 9.5 - Prob. 2CP Ch. 9.5 - Prob. 3CP Ch. 9.5 - Prob. 4CP Ch. 9.5 - Prob. 5CP Ch. 9.5 - Prob. 6CP Ch. 9.5 - Prob. 1E Ch. 9.5 - Prob. 2E Ch. 9.5 - Prob. 3E Ch. 9.5 - Prob. 4E Ch. 9.5 - Prob. 5E Ch. 9.5 - Prob. 6E Ch. 9.5 - Prob. 7E Ch. 9.5 - Prob. 8E Ch. 9.5 - Prob. 9E Ch. 9.5 - Prob. 10E Ch. 9.5 - Prob. 11E Ch. 9.5 - Prob. 12E Ch. 9.5 - Prob. 13E Ch. 9.5 - Prob. 14E Ch. 9.5 - Prob. 15E Ch. 9.5 - Prob. 16E Ch. 9.5 - Prob. 17E Ch. 9.5 - Prob. 18E Ch. 9.5 - Prob. 19E Ch. 9.5 - Prob. 20E Ch. 9.5 - Prob. 21E Ch. 9.5 - Prob. 22E Ch. 9.5 - Prob. 23E Ch. 9.5 - Prob. 24E Ch. 9.5 - Prob. 25E Ch. 9.5 - Prob. 26E Ch. 9.5 - Prob. 27E Ch. 9.5 - Prob. 28E Ch. 9.5 - Prob. 30E Ch. 9.5 - Prob. 29E Ch. 9.5 - Prob. 31E Ch. 9.5 - Prob. 32E Ch. 9.5 - Prob. 33E Ch. 9.5 - Prob. 34E Ch. 9.5 - Prob. 35E Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 38E Ch. 9.5 - Prob. 37E Ch. 9.5 - 40. Business An insurance company classifies its...Ch. 9.5 - Prob. 40E Ch. 9.5 - Prob. 41E Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 42E Ch. 9.5 - Prob. 44E Ch. 9.5 - Prob. 45E Ch. 9.5 - Prob. 46E Ch. 9.6 - Prob. 1CP Ch. 9.6 - Prob. 2CP Ch. 9.6 - Prob. 3CP Ch. 9.6 - Prob. 1E Ch. 9.6 - Prob. 2E Ch. 9.6 - Prob. 3E Ch. 9.6 - Prob. 4E Ch. 9.6 - Prob. 5E Ch. 9.6 - Prob. 6E Ch. 9.6 - Prob. 7E Ch. 9.6 - Prob. 8E Ch. 9.6 - Prob. 9E Ch. 9.6 - Prob. 10E Ch. 9 - Prob. 1RE Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - In Exercises 1–4, (a) sketch the histogram of the...Ch. 9 - Prob. 5RE Ch. 9 - Prob. 6RE Ch. 9 - Prob. 7RE Ch. 9 - Prob. 8RE Ch. 9 - Prob. 9RE Ch. 9 - Prob. 10RE Ch. 9 - Games of Chance Solve the given problems. Business...Ch. 9 - Prob. 12RE Ch. 9 - Prob. 13RE Ch. 9 - Solve the given problems. 14. How many variations...Ch. 9 - Prob. 15RE Ch. 9 - Prob. 16RE Ch. 9 - Prob. 17RE Ch. 9 - Prob. 18RE Ch. 9 - Prob. 19RE Ch. 9 - Prob. 20RE Ch. 9 - Prob. 21RE Ch. 9 - Prob. 22RE Ch. 9 - Prob. 23RE Ch. 9 - Prob. 24RE Ch. 9 - Prob. 25RE Ch. 9 - Prob. 26RE Ch. 9 - Prob. 27RE Ch. 9 - Prob. 28RE Ch. 9 - Prob. 29RE Ch. 9 - Prob. 30RE Ch. 9 - Prob. 31RE Ch. 9 - Prob. 32RE Ch. 9 - Prob. 33RE Ch. 9 - Prob. 34RE Ch. 9 - Prob. 35RE Ch. 9 - Prob. 36RE Ch. 9 - Prob. 37RE Ch. 9 - Prob. 38RE Ch. 9 - Prob. 39RE Ch. 9 - Prob. 40RE Ch. 9 - Prob. 41RE Ch. 9 - Prob. 42RE Ch. 9 - Prob. 43RE Ch. 9 - Prob. 44RE Ch. 9 - Prob. 45RE Ch. 9 - Prob. 46RE Ch. 9 - Prob. 1CE Ch. 9 - Prob. 2CE Ch. 9 - Prob. 3CE Ch. 9 - Prob. 4CE Ch. 9 - Prob. 5CE Ch. 9 - Prob. 1EP Ch. 9 - 2. Investigate whether your own state or a state...

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The equilibrium vector of the transition matrix [ .15 .15 .70 .42 .38 .20 .16 .28 .56 ] .

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To calculate: The equilibrium vector of the transition matrix [.15.15.70.42.38.20.16.28.56].

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Chapter 9 Solutions