#ATTENDANCE QUIZ FOR LECTURE 12 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p12
#with an attachment called
#p12FirstLast.txt
#(e.g. p12DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Oct. 13, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE: 3

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

1. List the set of all your siblings and first cousins for each of them list their age.
(i) Find the weight-enumerator according to age
(ii) According to height

Valerie - 24 years old, 60 inches
Matthew - 27 years old, 72 inches
Jeffrey - 25 years old, 70 inches
Paige - 8 years old, 48 inches

by age: x^27 + x^25 + x^24 + x^8
by height: x^72 + x^70 + x^60 + x^48

2. Look up in Wikipedia the list of ages at death of dead presidents of USA
(i) What is the weight-enumerator of the set of first 10 dead presidents, P1
(ii) What is the weight-enumerator of the set of last 10 dead presidents, P2 according to age at death
(iii) Consider the artificial set P1xP2 with 100 elements and define the F(EarlyPresident, LatePresident) Sum of their ages when they died. 
Find the weight-enumerator of the set P1xP2 according to F

George Washington - 67
Thomas Jefferson - 83
John Adams - 90
James Monroe - 73
James Jadison - 85
William Henry Harrison - 68
Andrew Jackson - 78
John Quincy Adams - 80
James K. Polk - 53
Zachary Taylor - 65

x^90 + x^85 + x^83 + x^80 + x^78 + x^73 + x^68 + x^67 + x^65 + x^53

George H.W. Bush - 94
Gerald Ford - 93
Ronald Reagan - 93
Richard Nixon - 81
Lyndon B. Johnsohn - 64
Harry S. Truman - 88
Dwight D. Eisenhower - 78
Herbert Hoover - 90
John F. Kennedy - 46
Franklin D. Roosevelt - 63


x^94 + x^93 + x^90 + x^88 + x^81 + x^78 + x^64 + x^63 + x^46



3. Look up in the internet the top ten dead rock singers of all time.
Find their average age at death, the variance (2nd moment about the mean) call it m2
and the fourth moment about the mean call it m4
Then find m4/m2^2 (in other words fine the kurtosis)

John Lennon - 40 
Jimi Hendrix - 27
Kurt Kobain - 27
Jim Morrison - 27
Elvis Presley - 42
Freddie Mercury - 45
Janis Joplin - 27
George Harrison - 58
John Bonham - 32
Keith Moon - 32

m2 = 875/9
m4 = 590177/27
m4/m2^2 = 252933/109375​