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In a certain state, when a Democrat is governor 60% of the time a Democrat will

ID: 3123930 • Letter: I

Question

In a certain state, when a Democrat is governor 60% of the time a Democrat will be governor next time, 15% of the time an independent will be, and 25% of the time a Republican will be. When an independent is governor, 40% of the time an independent, will be governor next governor next time, 35% of the time a Democrat, and 20% of the time an Independent. What is the steady state distribution? (Round your answers to four decimal places). probability of a Democratic governor probability of an Independent governor probability of an Republican governor

Explanation / Answer

probability of a democratic governer =( 60/100) * (85/100) *( 75/100) = 0.3825

probability of a indepedent governer =(40/100) * (65/100) * (75/100 ) = 0.195

probability of a republican governer = (45/100) * (65/100) * (80/100 ) = 0.234