#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: 6

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

1) Why are Republicans red and Democrats blue?
This started in the 2000 election, when the NYT and USA Today published full-color electoral maps for the first time and assigned the colors arbitrarily. Before this, red and blue were still used but weren't consistently assigned to a specific party. They decided to use red for Republican because they both start with "R".

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 won and got 365 electoral votes.
GFv(USEC(), x)
3182416524832 is coefficient of x^365, so that is the number of ways.

3) What is the probability that it is consistent in such an election with 1000 states 
evalf(C(1000));
                         0.02522501818

4) How often will we get 500*x[0]+500*x[1]?
add(x[LC(1/2)],i=1..1000);
You will get it 1000C500 / 2^1000 times or about 2.52% of the time.

5) Run 
SimuCount([1$100],1/2,10000,4)[2];
I don't know, this was taking too long.
How close is it to C(100);
C(100) is 12611418068195524166851562157/158456325028528675187087900672 or 0.07958923739

6) 
Are there other countries with the electoral college system?
What is the counterpart of USEC()?
Yes, there are electoral colleges in Burundi, Estonia, India, Kazakhstan, Madagascar, Myanmar, Pakistan, Trinidad and Tobago and Vanuatu. Since India is the biggest I will do their version of USEC(), which is

[175,60,126,243,90,70,40,182,90,68,87,81,224,140,230,288,60,60,40,60,147,30,117,200,32,234,119,60,403,70,294]