A city's council membership is currently made up of 5 Democrats and 3 Republicans (8 total members), The city will select one council member as its representative to a regional economic development conference. After selecting the representative, it will then select a different person from the council as an alternate representative (in the case there is some last-minute conflict such as sickness that prevents the representative from attending). These two selections are to be made completely at random from the members of the city council. We are interested in the political party affiliation (Democrat or Republican) of the two selected people. a)Summarize these trials of selecting two people from the city council in a probability tree. b) Construct a discrete probability distribution for the number of Democrats among the two selections. c) From the discrete probability distribution, calculate the mean and variance of the number of Democrats