4. In the city of Panem there are two political parties: the White Rose party and...

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4. In the city of Panem there are two political parties: the White Rose party and the Red Rose party. Historically, if the the White Rose party wins the election, they have an 80% chance of winning the next election as well. If the Red Rose party wins the election, they have a 60% of re-election. (a) If this year the Red Rose party won the election, then which party will be in power in 3 elections? (b) What were the percentages of popularity after 3 elections for each party? (c) Find the steady state vector for Panem, and give an interpretation of the long term political situation of Panem. 4. In the city of Panem there are two political parties: the White Rose party and the Red Rose party. Historically, if the the White Rose party wins the election, they have an 80% chance of winning the next election as well. If the Red Rose party wins the election, they have a 60% of re-election. (a) If this year the Red Rose party won the election, then which party will be in power in 3 elections? (b) What were the percentages of popularity after 3 elections for each party? (c) Find the steady state vector for Panem, and give an interpretation of the long term political situation of Panem.