Kenneth Chan
#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:
Kenneth Chan
PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH BY THE ANSWER
Question 1
LIST THE SET OF ALL YOUR SIBLING AND THE FIRST COUSINS 
FOR EACH OF THEM LIST THEIR AGE 
(i) FIND THE WEIGHT-ENUMERATOR ACCORDING TO AGE 
(ii) accoding to height 
Answer
(i)2x^14+x^20+x^28+x^30+x^32
(ii)2x^52+x^56+x^58+x^60+x^62

Question 2
(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 of death
(iii)consider the artifical set P1xP2 with 100 elements and define the F(EarlyPresident,LatePresiden)= Sum of their ages
when they died. Find the weight-enumerator of the set P!xP2 according to F
(iv)how many such pairs have combined ages 120? 140? 160?
Answer 
(i)x^67+x^68+x^71+x^73+x^78+x^79+x^80+x^83+x^85+x^90
(ii)x^46+x^63+x^64+x^78+x^81+x^88+x^90+2x^93+x^96

Question 3
Look up in the interne thte 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
the find m4/m2^2
Answer
45,27,27,36,22,40,42,27,35,58
average age=35.9
variance=37.3=m2
m4=40.19
m4/m2^2=.028889