#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
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1. Why are Republicans red and Democratics blue?
A1.  In the 1888 presidential election, Grover Cleveland and Benjamin Harrison used maps that 
coded blue for the Republicans, the color perceived to represent the Union and "Lincoln's Party",
and red for the Democrats.

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2. In 2008 elections whoever won, in how many ways could he have gotten the exact number of 
	electoral votes that they actually got.
A2. evalf(coeff(f, x, 365)/subs(x = 1, f));
                         0.001413276840

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3. What is the probability that it is consistent in such an elction with 1000 states.
A3. C := n -> evalf(binomial(n, trunc(1/2*n))/2^n);
C := proc (n) options operator, arrow; evalf(combinat:-binomial(\

  n, trunc((1/2)*n))/2^n) end proc

C(1000);
                         0.02522501818

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4. How often will we get 500 * x[0] + 500 * x[1]?
A4. evalb(add(x[LC(1/2)], i = 1 .. 1000) = 500*x[1] + 500*x[0]);
                             false

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5. RUN SimuCount([1$100], 1/2, 10000, 4) [2]
	How close is it to C(100)?
A5. SimuCount([1 $ 100], 1/2, 10000, 4)[2];
      0.1615000000
    C(100);
      0.07958923739


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6. (i) Are there other countries with electoral college system?
Other countries with electoral college systems include Burundi, Estonia, India, Kazakhstan, 
Madagascar, Myanmar, Pakistan, Trinidad and Tobago and Vanuatu. The Seanad Éireann (Senate) in 
Ireland is chosen by an electoral college.

(ii) What is the counterpart of usec()

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