#ATTENDANCE QUIZ FOR LECTURE 17a of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p17a
#with an attachment called
#p18FirstLast.txt
#(e.g. p17aDoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Nov. 6, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE: 5

PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH, BY THE ANSWER

1. Why are Republicans red and Democrats blue?

Republicans are red and Democrats are blue as a result of a history of showing the states which elected the Republican candidate as red, and the Democrat candidate as blue. The notion of Republicans as red and Democrats as blue was not standard until the election of 2000, however.

2. In the 2008 election, whoever won, in how many ways could he have gotten the exact number of electoral votes that they actually got?

Obama: 365 electoral votes

L2008 := [3 $ 8, 4 $ 5, 5 $ 5, 6 $ 3, 7 $ 4, 8 $ 2, 9 $ 3, 10 $ 4, 11 $ 4, 12, 13, 15 $ 3, 17, 20, 21 $ 2, 27, 31, 34, 55]:

coeff(GFv(L2008, x), x, 365);
                         3129970155515

3. What is the probability that it is consistent in such an election with 1000 states?

binomial(1000,500)/2^1000

4. How often is it to get 500x[0] + 500x[1]?

binomial(1000,500)*(1/2)^1000

5. Run SimuCount([1$100],1/2,10000,4)[2];
How close is it to C(100)?

Takes too long to count

6.
i. Are there other countries with the electoral college system?

Yes, Burundi, Estonia, India, Kazakhstan, Madagascar, Myanmar, Pakistan, Trinidad and Tobago, and Vanatu all have an electoral college system.

ii. What is the counterpart of USEC()?

ex. India: electoral college is made up of elected members if the upper and lower houses of the Parliament of India, elected members of each state's Legislative Assembly, and elected members of each union territory possessing a Legislative assembly