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 .70 .15 .90 .20 .05 Natural Gas .05 .02 .75 Fuel Oil .10 .08 .05 .95 Solar Energy Among homeowners within the area, 25% currently use electricity, 40% use natural gas, 30% use oil, and 5% 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? (Round your answers to two decimal places.) electricity X % natural gas % fuel oil X % Enter a number. solar energy

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
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Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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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
.70
.15
.90
.20
.05
Natural Gas
.05
.02
.75
Fuel Oil
.10
.08
.05
.95
Solar Energy
Among homeowners within the area, 25% currently use electricity, 40% use natural gas, 30% use oil, and 5% 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? (Round your answers to two decimal places.)
electricity
X %
natural gas
%
fuel oil
X %
Enter a number.
solar energy
Transcribed Image Text: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 .70 .15 .90 .20 .05 Natural Gas .05 .02 .75 Fuel Oil .10 .08 .05 .95 Solar Energy Among homeowners within the area, 25% currently use electricity, 40% use natural gas, 30% use oil, and 5% 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? (Round your answers to two decimal places.) electricity X % natural gas % fuel oil X % Enter a number. solar energy
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