#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

Q1. 
	Why are republicans red and democrats blue? 
A1. 
	Since 1984 election, CBS invented this new color scheme, and other follows. 

Q2. 
	In the 2008 election whoever won, in how many ways could he have gotten the exact number of electoral votes that he/she actually got 

A2. 
	res := GFv(USEC(), x);
	coeff(res, x, 365) = 3182416524832

Q3. 
	What is the probability that it is consistent in such an election with 1000 states 
A3. 
	C := proc (n) options operator, arrow; evalf(2*binomial(n, trunc((1/2)*n))/2^n) end proc
	C(1000) = 0.5045003636e-1


Q4.
	How often will we get x0[500] and x1[500]? 

A4. 
	evalf(binomial(1000, 500)/2^1000) = 0.2522501818e-1 probability

Q5. 
	Run Simucount([1$100], 1/2, 10000, 4), how close is it to C(100)? 

A5. 
	SimuCount([1$100], 1/2, 10000, 4);
    [50.09500000, 5.015672935, 0.03848024350, 2.938490764], 

      0.1619000000

    C(100) = .1591784748 pretty close 


Q6. 
	Are there other countries that have electorial college system?
	what is the counter part of USEC? 
A6. 
	Burundi, Estonia, India, Kazakhstan, Madagascar, Myanmar, Pakistan, Trinidad and Tobago has them.