Question

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Determine whether the stochastic matrx ρ is regular 1 0 0,25 =1010.10 00 0.65 regular o not regula Thon nd the steady state matro<ヌof the Markov chain with matrix of transition probabil tics P If the system has an rfin te number of sol b ns, c press x and r n terms of t ar meter r x- r Save Progress Pracice Another Version 8. + 0/3 points ! Preious Answers LaLiWg6 2 5.033 Mty Notes A nonprofit organization co ects contributions rom members o a community. During any year, 40% o those w o make contributions will not contribute the next year. On the other hand 10% of those contribute the next y. Fid the stealy smatrix far this situation. o do not make contributions will 9 4 5 4 Interpret the steady state matrix for this situetion. (Round your ansiwers to the nearest whole number.) X % th" cnmmunity will contribute and 40 This indicates that eventually 40 X % of the community will ret.

Answer 1

This indicates that eventually 20% of the community will contribute and 80% of the community will not.

Note: To make sure you aren't making a mistake always check that the steady state matrix should sum to 1 as well. So you can't have 40 and 40%.