Find the expected number of Democrats on the committee. (b) Find the expected number of states represented on the committee (by at least one senator). (c) Find the expected number of states such that both of the state’s senators are on the committee.

Q80, chapter 4, page 192, Introduction to probability, Joseph k.Blitzstein. Please solve this question: The U.S. Senate consists of 100 senators, with 2 from each ofthe 50 states. There are d Democrats in the Senate. A committee of size c is formed, by picking a random set of senators such that all sets of size c are equally
likely. (a) Find the expected number of Democrats on the committee. (b) Find the expected number of states represented on the committee (by at least one senator). (c)
Find the expected number of states such that both of the state’s senators are on the committee.

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