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V63.0233: Theory of Probability




New York University, Summer 2009
Goals
Goals
“An introduction to the mathematical treatment
of random phenomena occurring in the natural,
physical, and social sciences.       Axioms of
mathematical probability, combinatorial analysis,
binomial distribution, Poisson and normal
approximation, random variables and probability
distributions, generating functions, the Central
Limit Theorem and Laws of Large Numbers.”
Prof. Matthew Leingang
 Warren Weaver Hall 624
      (212-99)8-3107
leingang@courant.nyu.edu
Get to Know Indiana
Get to Know Indiana
Get to Know Indiana
Get to Know Indiana




“The Crossroads of America”
Hatsumon
Hatsumon



Problems you will be able to solve after this course
How many ways can you
 order a cheesesteak?
How many
telephone
 numbers
    are
possible in
  North
 America?
Why does a flush beat a straight?
How much
is a Little Bit
   of Luck?
Can you trust an
eyewitness?
8-0?
6




              4
                               B




              2




-5                 O               A   5



              -2
     Area   ABO = 6.3144 cm2



              -4
A triangle has one edge 3            6

inches long and one edge 5
        inches long.
                                      4
                                                       B




                                      2




                     -5                    O               A   5



                                      -2
                             Area   ABO = 6.3144 cm2



                                      -4
A triangle has one edge 3            6

inches long and one edge 5
        inches long.
What would you expect its             4
                                                       B

         area to be?
                                      2




                     -5                    O               A   5



                                      -2
                             Area   ABO = 6.3144 cm2



                                      -4
How long to complete
   a collection?
Do slot machines get
“hot” or become
“due”?
Course
Business
Prerequisites
Homework
Participation
Quizzes and Exams
Book
Grades
                                93   A
        HWParticipation
                                90   A-
        10%   10%
                                87   B+
Final
                      Midterm   83    B
                        30%
30%
                                80   B-
           Quizzes              75   C+
            20%
                                65   C
                                50   D
Questions?
We are here to help

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Introduction to Probability