Independent Events
EXAMPLE 4m (8th ed) and 4n (9th ed)
(Probabilistic method in combinatorics):
First, some background:
Theorem on friends and strangers: Suppose a party has six people.
Consider any two of them. They might be meeting for the first time in
Independent Events
Two events E and F are said to be independent, if
P(EF ) = P(E )P(F ) ,
which is the same as saying
P(E | F ) = P(E ) .
In other words, knowing that F has occurred doesnt change the
chances of E s occurrence. Two events E and F that are
Midterm 1
I
I
I
Average - 72.67, Median - 77.
You can pick your midterm from my office after this class,
12:30 pm - 2 pm. The grading scheme is explained in the
corresponding course announcement. Midterm solutions are
posted on Latte.
Error correction ass
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that all cards in the hand have different
denominations, given that al
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that all cards in the hand have different
denominations, given that al
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that the hand contains a queen of diamonds, given that it contains at
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that all selected cards are diamonds,
given they are of different deno
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that all selected cards are diamonds,
given they are of different deno
Expected Value of Sums of Random Variables
Last time: Discrete random variables (chapter 4).
I
Probability mass function and Cumulative distribution
function.
I
Expectation.
What is our plan for the next couple of lectures:
I
More about expectation and va
First Midterm
When: Tuesday, 09/27, 11 am - 12:20 pm.
Where: Gzng 123.
Topics: Section 1.1 - 1.5, 2.1 - 2.5, 3.1 - 3.2.
You will not be allowed to use textbooks, notes, calculators or any
other electronic devices.
Bayess rule
The odds of an event A are de
The Poisson random variables
A random variable X that takes on one of the values 0, 1, 2, . . . is
said to be a Poisson random variable with parameter if, for some
> 0,
p(i) = Pcfw_X = i = e
i
i!
for i = 0, 1, 2, . . .
This equation defines a probabilit
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that the hand contains a jack of hearts,
given that it contains a jack
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that the hand contains a queen of diamonds, given that it contains at
Quiz 2. 09/27
Please provide short explanations together with your answers
A 3-card hand is dealt from a well-shuffled deck of 52 playing cards.
(1) What is the conditional probability that the hand contains a jack of hearts,
given that it contains a jack
Quiz 4
We will have quiz 4 on Friday.
Topics:
Random Variables, Expectation, Variance (sections 4.1 4.5).
Bernoulli and Binomial random variables
A random variable X is said to be a Bernoulli random variable if
Pcfw_X = 1 = p and Pcfw_X = 0 = 1 p for some
September 16, 2016
Inclusion-exclusion identity
EXAMPLE 5m. The matching problem
Suppose that each of N men at a party throws his hat into the
center of the room. The hats are first mixed up, and then each man
randomly selects a hat. What is the probabili
EXAM 2 STUDY GUIDE
This is a list of topics that are covered you should know them in detail (not just definitions).
Concepts/People to Know
Hidden Curricul2um223
Socialization
Mead (Sense of self)32
2
Soci2al different2iation3
Webers breakdown of Social C
street and number
postcode city
country
H +1 (234) 567 890
T +2 (345) 678 901
u +3 (456) 789 012
B john@doe.org
www.johndoe.com
additional information
John Doe
Resum title
Some quote
Education
yearyear Degree, Institution, City, Grade.
Description
yearye
EXAM 2 STUDY GUIDE
This is a list of topics that are covered you should know them in detail (not just definitions).
Concepts/People to Know
Hidden Curricul2um223
Socialization
Mead (Sense of self)32
2
Soci2al different2iation3
Webers breakdown of Social C
EXAM 2 STUDY GUIDE
This is a list of topics that are covered you should know them in detail (not just definitions).
Concepts/People to Know
Hidden Curricul2um223
Socialization
Mead (Sense of self)2
2
Soci2al different2iation
Webers breakdown of Social Cla
EXAM 2 STUDY GUIDE
This is a list of topics that are covered you should know them in detail (not just definitions).
Concepts/People to Know
Hidden Curricul2um223
Socialization
Mead (Sense of self)32
2
Soci2al different2iation3
Webers breakdown of Social C