A study conducted by the Urban Energy Commission in a large metropolitan area indicates the probabilities that homeowners within the area will use certain heating fuels or solar energy during the next 10 years as the major source of heat for their homes. The transition matrix representing the transition probabilities from one state to another is Elec.
Gas)
Oil
Solar
Electricity Natural gas
Fuel oil
Solar energy
Among homeowners within the area, 35% currently use electricity, 30% use natural gas, 25% use oil, and 10% use solar energy as the major source of heat for their homes. What is the expected distribution of the homeowners that will be using each type of heating fuel or solar energy within the next decade?
A) Electricity: 34 % Natural gas: 18.5 % Fuel oil: 11.25 % Solar energy: 36.25 %
B) Electricity: 40 % Natural gas: 21.5 % Fuel oil: 14.25 % Solar energy: 24.25 %
C) Electricity: 43 % Natural gas: 24.5 % Fuel oil: 17.25 % Solar energy: 15.25 %
D) Electricity: 31 % Natural gas: 15.5 % Fuel oil: 8.25 % Solar energy: 45.25 %
E) Electricity: 37 % Natural gas: 27.5 % Fuel oil: 20.25 % Solar energy: 15.25 %

Question

A study conducted by the Urban Energy Commission in a large metropolitan area indicates the probabilities that homeowners within the area will use certain heating fuels or solar energy during the next 10 years as the major source of heat for their homes. The transition matrix representing the transition probabilities from one state to another is Elec.
Gas)
Oil
Solar
Electricity  Natural gas
Fuel oil
Solar energy
Among homeowners within the area, 35% currently use electricity, 30% use natural gas, 25% use oil, and 10% use solar energy as the major source of heat for their homes. What is the expected distribution of the homeowners that will be using each type of heating fuel or solar energy within the next decade?
A) Electricity: 34 % Natural gas: 18.5 % Fuel oil: 11.25 % Solar energy: 36.25 % ​ 
B) Electricity: 40 % Natural gas: 21.5 % Fuel oil: 14.25 % Solar energy: 24.25 % ​ 
C) Electricity: 43 % Natural gas: 24.5 % Fuel oil: 17.25 % Solar energy: 15.25 % ​ 
D) Electricity: 31 % Natural gas: 15.5 % Fuel oil: 8.25 % Solar energy: 45.25 % ​ 
E) Electricity: 37 % Natural gas: 27.5 % Fuel oil: 20.25 % Solar energy: 15.25 %

Quizplus · Accepted Answer

The Answer of A study conducted by the Urban Energy Commission in a large metropolitan area indicates the probabilities that homeowners within the area will use certain heating fuels or solar energy during the next 10 years as the major source of heat for their homes. The transition matrix representing the transition probabilities from one state to another is Elec.
Gas)
Oil
Solar
Electricity  Natural gas
Fuel oil
Solar energy
Among homeowners within the area, 35% currently use electricity, 30% use natural gas, 25% use oil, and 10% use solar energy as the major source of heat for their homes. What is the expected distribution of the homeowners that will be using each type of heating fuel or solar energy within the next decade?
A) Electricity: 34 % Natural gas: 18.5 % Fuel oil: 11.25 % Solar energy: 36.25 % ​ 
B) Electricity: 40 % Natural gas: 21.5 % Fuel oil: 14.25 % Solar energy: 24.25 % ​ 
C) Electricity: 43 % Natural gas: 24.5 % Fuel oil: 17.25 % Solar energy: 15.25 % ​ 
D) Electricity: 31 % Natural gas: 15.5 % Fuel oil: 8.25 % Solar energy: 45.25 % ​ 
E) Electricity: 37 % Natural gas: 27.5 % Fuel oil: 20.25 % Solar energy: 15.25 %

A Study Conducted by the Urban Energy Commission in a Large