#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: 

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



#ATTENDANCE Q. #1 for LECTURE 17a
#Why are republicans red and democrats blue?

#ANSWER to Q. #1:	

# Basicall the color scheme became a way using the USA's red white and blue flag colors (minus white
# since printing paper is white etc), and so the USA colors are where the themes come from.
# Some say that Red could stand for Republicans since they both start with R.

# "In 1976, NBC used its first on-air election map and the bulbs turned red to designate states won
# by Democratic nominee Jimmy Carter and blue to designate states won by Republican nominee Gerald 
# Ford. As The Verge points out, that color scheme was  based on Great Britain's political system, 
# where the liberal party was associated with the color blue." (via USAToday)




#ATTENDANCE Q. #2 for LECTURE 17a
#In the 2008 election whoever won, in how many ways could he have gotten the exact number of electoral
#votes that they actually got

#ANSWER to Q. #2:

#coeff(GFv(USEC(),x),x,365) = 3182416524832 ways Barack Obama could have gotten his 365 electoral votes




#ATTENDANCE Q. #3 for LECTURE 17a
#What is the probability that it is consistent in such an election with 1000 states

#ANSWER to Q. #3:

#evalf(binomial(1000,500)/2^1000) gives 0.02522501818




#ATTENDANCE Q. #4 for LECTURE 17a
#how often will we get 500x[0] + 500x[1]?

#ANSWER to Q. #4:

#about 2.5% of the time




#ATTENDANCE Q. #5 for LECTURE 17a
#how close is SimuCount([1$100],1/2,10000,4)[2] to C(100)?

#ANSWER to Q. #5:

# it is roughly double of C(100) (C(100) is close to 8%, and SimuCount is ~ 0.16




#ATTENDANCE Q. #6 for LECTURE 17a
#what other countries have electoral college systems?

#ANSWER to Q. #6:

#Some other countries that have an electoral college are Burma, Burundi, Estonia, India, Madagascar, Nepal, Pakistan, Trinidad
# and Tobago, Vanuatu, and Vatican City, even Ireland for its Senate

#I couldn't really find break-down numbers per territory for countries that share the winner-takes-all system USA has
#among the list I have above, without just getting USA results in my search