Title
Final summary
Week 12 lecture
Title
Chapter 3. Special distribution
Important techniques and facts
Moment generating technique
Binomial and multinomial: joint, conditional, marginal
distribution, variance and covariance structure, MGF
Poisson: co
(1) Use the method of integration by part and induction to prove the following equality.
w
k1
(w)x ew
z k1 ez
dz =
.
(k 1)!
x!
x=0
(2) Given Poisson random variables X1 , . . . , Xn , each Xi P (mi ), Y = n Xi , prove that
i=1
Y P ( n mi ).
i=1
3: Three
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WASHINGTON UNIV SEATTLE DEPT OF PSYCHOLOGY
ASSESSING SOCIAL SUPPORT THE SOCIAL SUPPORT QUESTIONNAIRE.(U)
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Effects of Stress and Social Support on Mothers
and Premature and Full-Term Infants
Keith A. Cmic, Mark T. Greenberg, Arlene S. Ragozin,
Nancy M. Robinson, and Robert B. Basbam
Untverstty of Washm^on
CRNIC, KEnu A ,
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Midterm test
MATH 3280 3.00
October 24th, 2011
Given name and surname:
Student No:
Signature:
INSTRUCTIONS:
1. Please write everything in ink.
2. This exam is a closed book exam, duration 80 minutes.
3. Only non-programmable calculators are permitted.
4.
Mathematics of Life Contingencies. Math 3280 3.00 F
Instructor: Edward Furman
Homework 6
Unless otherwise indicated, all lives in the following questions are
subject to the same law of mortality and their times until death are
independent random variables
Mathematics of Life Contingencies. Math 3280 3.00 F
Instructor: Edward Furman
Homework 5
Unless otherwise indicated, all lives in the following questions are
subject to the same law of mortality and their times until death are
independent random variables
MATH 3131 3.00 A S1
Assignment 1
Total marks = 40
Question 1: (6 marks). Let X Geometric(p). Show that
P (X k + j|X k) = P (X j),
where k and j are nonnegative integers. Note that we sometimes say in
this situation that X is memoryless. Hint: First show t
RESEARCH PARTICIPANTS NEEDED
An Investigation of Second Language Writing
Are you a Student in your First or Second Year of Graduate or
Undergraduate Study at York University?
FACULTY OF
EDUCATION
If your answer is Yes, please read on!
We are looking for s
MATH 3131 3.00 A S1
Assignment 2
Total marks = 30
Question 1: Let X and Y have a bivariate normal distribution with respective parameters x = 2.8, y = 110, x2 = 0.16, y2 = 100, and = 0.6.
Compute
(a) (3 marks). P (106 < Y < 124).
(b) (3 marks). P (106 < Y
DISCUSSION QUESTIONS CHAPTERS 25-36 (PAGES 99157)
1) In Chapter 29, the Kapuskasing Chiefs challenge The Moose to
a hockey game. Why do you think they did this? Why did Saul
feel uncomfortable agreeing to do so?
2) Examine the following quotations careful
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Indep. ! P Ai1 Ai2 . Ai j =
j
n=1
( P ( A )
Multivariate Distribution (Two Random Variables)
Discrete Dist. Def.: Space is finite or countable
pmf: ! p X1 ,X2 ( x1 , x2 ) = P X1 = x1 , X 2 = x2
in
[
! P ( X , X ) B = p
Marginal pmf: ! p ( x ) =
! E (