1
Stable Matching
Note: Exercises denoted with an asterisk () tend to be more difficult, or to rely on some of
the more advanced material.
1. Gale and Shapley published their paper on the stable marriage problem in 1962; but a
version of their algorithm h
Stat 100 -Intro Probability
Homework 4
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME:
FIRST NAME:
ID:
TODAYs DATE:
TAs NAME:
, TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN THE
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Homework 7
EXERCISE 1
A coin is thrown independently 10 times to test that the probability of heads is
1
is not 2 . The test rejects H0 if either 0
University of California, Los Angeles
Department of Statistics
Instructor: Nicolas Christou
Statistics 100B
Homework 5
EXERCISE 1
Let X1 , X2 , , Xn be independent and identically distributed random variables from a Poisson distribution with parameter .
W
Statistics 100B
University of California, Los Angeles
Department of Statistics
Instructor: Nicolas Christou
Homework 6
EXERCISE 1
The following 16 numbers came from a normal random number generator on a computer
5.3299
4.2537
3.1502
3.7032
1.6070
6.3923
3
Stat 100A-Introdctn Probability(1), WINTER 2017/Sanchez
Course Web site: http:/ccle.ucla.edu
Unfortunately, this quarter Bruincast is not available for this lecture, only audio cast is.
Holidays: Martin Luther King (Jan 16th, Monday); Presidents day Fe
Stat 100A -Intro Probability
Old exam
J. Sanchez
UCLA Department of Statistics
MUST DO BEFORE STARTING EXAM
UCLA ID: TA Session:
LAST NAME (Please, PRINT): (Put ID on your desk)
FIRST NAME:
SIGNATURE (In English):
(a) WRITE AND MARK YOUR NAME AND ID ON
Stat 100 -Intro Probability
TA Session
J. Sanchez
UCLA Department of Statistics
Problem 1. What is the value of 5!? Show work.
Problem 2. What is the value of
7
Problem 3. What is the value of
4
? Show work.
20
3,10,7
? Show work and write this as a prod
Stat 100 -Intro Probability
TA Session
J. Sanchez
UCLA Department of Statistics
Question 1. Someone computed the probability of the event (EB)(EF)c as being 0.6. Which of the following events
has the same probability? (Note: as we have said several times,
Notes
Bivariate Continuous Random Variables.
Summary using a single bivariate density function.
Juana Sanchez
[email protected]
UCLA Department of Statistics
Supplementary reading: Carlton Devore, Ch 4 (selected parts) (posted)
and Scheaffer and Youn
Notes
Expectation, Variance and Distribution of Sums of
Independent and Identically Distributed Random
Variables.
Juana Sanchez
[email protected]
UCLA Department of Statistics
ccle.ucla.edu
J. Sanchez
Sums of Many Random variables
Today
Notes
Linear
Stat 100 -Intro Probability
Homework 7
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100 -Intro Probability
Homework 6
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
Stat 100 -Intro Probability
Homework 3
J. Sanchez
UCLA Department of Statistics
PROVIDE THE INFORMATION REQUESTED IN THIS BOX:
LAST NAME: FIRST NAME: ID:
TODAYs DATE:
TAs NAME: , TIME OF YOUR TA SESSION:
Instructions
(1) YOU MUST WRITE YOUR ANSWERS IN
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Homework 8
EXERCISE 1
Answer the following questions:
a. The lifetime of certain batteries are supposed to have a variance of 150 hours2 . Using =