Stat 100 -Intro Probability
Homework 1key
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to prof. Sanchez at the beginning of lecture. Homework turned in at the end o
Stat 100 -Intro Probability
Homework 6-Not to be turned in.
J. Sanchez
UCLA Department of Statistics
Instructions
(1) This is just to practice the topics seen the last day of lecture and to help distinguish them from problems relating
to topics already se
Stat 100A, Midterm Exam
July 19, 2012
Name:
Problems
1
2
3
4
5
Total
Points
You have to show work for every problem. No points will be given otherwise.
This is a closed-book, closed-notes exam. You are allowed to use a scientic calculator, but encourage
Notes
Expectation, Variance and Distribution of Sums of
Many Random Variables.
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 22, 2013
J. Sanchez
Sums of Many Random variables
Announcements
Notes
Homework 4 was due today at the be
1
Lecture 1. Transformation of Random Variables
Suppose we are given a random variable X with density fX (x). We apply a function g
to produce a random variable Y = g (X ). We can think of X as the input to a black
box, and Y the output. We wish to nd the
Notes
Stat 100A. Introduction to Probability
Syllabus questions, a couple of review exercises, and Introduction
to Sample Spaces with equally likely outcomes.
Juana Sanchez
[email protected]
UCLA Department of Statistics
Reference: Ross, chapter 2.5,
Stat 100 -Intro Probability
Summer 2013 Practice Midterm 1
J. Sanchez
UCLA Department of Statistics
READ THIS AND NEXT PAGE TO KNOW REQUIREMENTS AND SAVE TIME THE DAY OF THE EXAM
MIDTERM 1 ON TUESDAY, JULY 16th, and has two parts: 10:00-11:30 (regular ex
Probability
1. Probabilities from Tables of Counts
The table below contains information for sales of 4 bedroom houses in Auckland City in June,
July and August, 2004.
Exercise 1
Selling price
Under $300,000
$300,000 - $600,000
Over $600,000
Total
Days on
Stat 100 -Intro Probability
Homework 4
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to prof. Sanchez at the beginning of lecture. Homework turned in at the end of l
Notes
Random variables
Discrete Random Variables II
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 11
J. Sanchez
Stat 100A Intro Probability
Announcements
Notes
Homework 3 is being discussed in the TA session. No turning in.
Midte
Notes
Lesson 4: Conditional Probability
Juana Sanchez
[email protected]
UCLA Department of Statistics
January 23, 2012
J. Sanchez
Lesson 4: Conditional Probability
4.1. Introduction
Notes
Example 4.1 You roll two fair
(1, 1) (1, 2)
(2, 1) (2, 2)
(3
Stat 100 -Intro Probability
Homework 3
J. Sanchez
UCLA Department of Statistics
Instructions
(1) This homework is not to turn in. The problems will be discussed in the TA session of Thursday the 11th. The material will
be on the exam.
(2) Problems 7 on ar
Stat 100 -Intro Probability
Homework 3
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to Prof. Sanchez in lecture. No email, mailboxes, fax or other way of turning it
Stat 100 -Intro Probability
Homework 7.
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to prof. Sanchez at the beginning of lecture. Homework turned in at the end of
Stat 100 -Intro Probability
Homework 3
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to prof. Sanchez at the beginning of lecture. Homework turned in at the end of l
Stat 100 -Intro Probability
Summer 2013 Practice Midterm 1 Key
J. Sanchez
UCLA Department of Statistics
READ THIS AND NEXT PAGE TO KNOW REQUIREMENTS AND SAVE TIME THE DAY OF THE EXAM
MIDTERM 1 ON TUESDAY, JULY 16th, and has two parts: 10:00-11:30 (regula
Stat 100 -Intro Probability
Homework 5 key
J. Sanchez
UCLA Department of Statistics
Instructions
(1) No late homework accepted under any circumstances.
(2) Must hand in in person to prof. Sanchez at the beginning of lecture. Homework turned in at the end
Stat 100 -Intro Probability
Summer 2013, Midterm 1
J. Sanchez
Broad 2160E
UCLA Department of Statistics
DO NOT DETACH ANY PAGES FROM THIS EXAM. EXAM MUST STAY STAPLED DURING THE
WHOLE EXAM.
UCLA ID:
LAST NAME (Please, PRINT): FIRST NAME:
MULTIPLE CHOICE
Introduction, Sample Space, Events
Juana Sanchez
[email protected]
UCLA Department of Statistics
Reading: Course syllabus; Textbook, Ross (8th edition), Chapter 2, (2.1-2.2)
June 25th, rst part of lecture.
J. Sanchez
Introduction, Sample Space, Event
Notes
Independent Events
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 9
J. Sanchez
Stat 100A. Conditional Probability
Announcements
Notes
Homework 2 is due Today at the beginning of lecture. Insert in the
manila envelopes for Hw
Notes
Bivariate Continuous Random Variables.
Summary using a single bivariate density function.
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 26, 2013
J. Sanchez
Joint densities: Bivariate Continuous
Topics today
Notes
Reading in
Notes
Continuous Random Variables: The Exponential
Random Variable
Juana Sanchez
[email protected]
UCLA Department of Statistics
Feb 11, 2013
J. Sanchez
Continuous Random Variables
Announcements
Notes
Project is due on Wednesday, beginning of class.
Notes
Random variables
Discrete Random Variables
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 9
J. Sanchez
Stat 100A Intro Probability
Announcements
Notes
Remember: Midterm 1 on Tuesday, JULY 16th, 10:00-11:30 (regular
exam). 11
Partitions of the Sample Space, Axioms of
Probability and Properties of Probability
Juana Sanchez
[email protected]
UCLA Department of Statistics
Textbook: Ross, Chapter 2, sections 1-4 and last lecture.
June 25th, part 2 of lecture
J. Sanchez
Partit
Notes
Random variables
Continuous random variables
Juana Sanchez
[email protected]
UCLA Department of Statistics
July 17, 2013
J. Sanchez
Random Variables-Continuous
Announcements
Notes
Homework 4 is due on Tuesday
J. Sanchez
Random Variables-Continu
Probability
1. Probabilities from Tables of Counts
The table below contains information for sales of 4 bedroom houses in Auckland City in June, July and August, 2004.
Exercise 1
Selling price
Under $300,000
$300,000 - $600,000
Over $600,000
Total
Days on
11.
The question essentially asks, "at what pick do we expect to have found the third
of three broken pumps." Your intuition should tell you that the answer is 3/.2 = 15.
Then 3 pumps needed 30 minutes (10 for testing, 20 for repair) and 12 only 10
minute
Stat 100 -Intro Probability
Simulation Midterm 1
J. Sanchez
UCLA Department of Statistics
LAST NAME FIRST NAME
UCLA ID:
0.1
The problem
Tripl Crisp Cereal is running a promotion on its cereal by including one of six dierent colored pens in each box.
Fi
Stat 100 -Intro Probability J. Sanchez
TA Session 2 _ UCLA Department of Statistics
W
'Ihrn to the student next to you and work together. The TA will be walking around to help you if you
have questions. Do not hesitate to ask if you dont understand someth
Stat tourslnchez TA Session 3
Turn to the person sitting next to you and complete all the questions below in the rst half hour of the
sessron. You will need to use the rules of probability and all the concepts seen in lecture thus far. You
must-specrfy th
independence
Juana Santhez
jsandiezsut uda edu
UCLA Donna-r a! int-u
on u:- u
._
Ln E.E; .E. be n events By denition of conditional mm.
_ , 515:5 5)
Prams. r. um ~ 7.17:] H
Applications to sequential sampling WITHOUT
remmwtanpem ~ ._. .3 9.3-. um. ; ".1