Math 301

P&SI

Dr. McLoughlin

11
Fall of 2011
11 Handout 3 2011 2012
Random Variables: Continuous
Dr. M. P. M. M. McLoughlin
Revised 2011
Note: The basic building block of probability is set theo
MATH 301 P & S I FALL 2009 WORKSHEET IIIAA
NAME:_
Revised Fall 2011
6.1. Claim: Let
(please print legibly)
S and S be a well defined sample space with A B events with Pr(A  B) > and
Pr(B) 0. Therefor
Math 301

P&SI

Dr. McLoughlin

7
Fall of 2011
7 Worksheet 3D 2011 2012
Exercises about Conditional Probability
Dr. M. P. M. M. McLoughlin
Revised 2011
Prove or disprove the following claims:
Claim
MATH 301 P & S I FALL 2006 WORKSHEET IIIC NAME:_
(please print legibly)
1.
Let the sample space S = U be well defined and let R, S, and T be events. With the probabilities assigned
for events as given
Math 301 P & S I Fall 2008
Worksheet IV
Name:_
(please print legibly)
Show all work. If an answer DNE, explain why it does not exist.
1. Consider the following probability mass function (pmf) :
X=x
Pr
Math 301

P&SI

Dr. McLoughlin

3
Spring of 2013
3AAAAA Worksheet
Probability & Combinatorics
Dr. M. P. M. M. McLoughlin
Revised 2013
page 44 in Ghahramani text. 3, 7, 9.
page 63 in Ghahramani text
MATH 301 P & S I FALL 2008 WORKSHEET III NAME:_
(please print legibly)
1. Suppose S be a well defined sample space with A
B events and we know that Pr (A) = 0.75, Pr(B) = 0.48; and,
Pr(A B) = 0.89.
A
MATH 301 P & S I FALL 2009 WORKSHEET IIIB
NAME:_
(please print legibly)
1. There is an urn. It contains 5 white, 3 red, and 6 blue balls.
A ball is drawn then another.
Find the probability that of the
Math 301

P&SI

Dr. McLoughlin

8
Fall of 2011
8 Worksheet 3E 2011 2012
Exercises about Conditional Probability
Dr. M. P. M. M. McLoughlin
Revised 2011
Jablonskis Principle from Set Theory. Let U b
Math 301

P&SI

Dr. McLoughlin

1
Fall of 2011
1 Worksheet 2011 1B
On the Na or Intuitive Idea of Probability
ve
Computational  Not For Required Board Credit
Dr. M. P. M. M. McLoughlin
Revised 201
Math 301

P&SI

Dr. McLoughlin

1
Fall of 2011
1 Worksheet 2011 2
The Axioms of Probability Theory, Set Theory, and Real Variables
Dr. M. P. M. M. McLoughlin
Revised 2011
Mathematics is predicated
Math 301  Probability & Statistics I Dr. McLoughlin  Worksheet 0 version 2 Fall 2011
Worksheet Zero
Foundations and Calculus
Prerequisite Concepts
Dr. M. P. M. M. McLoughlin
Fall 2011
Prove means
Math 301 Probability and Statistics  Dr. McLoughlins Class The Gamma Function page 1 of 5
MATH 301 PROBABILITY AND STATISTICS
DR. MCLOUGHLINS CLASS
THE GAMMA FUNCTION
HANDOUT 4
We will look a little
Math 301  P & S I  Dr. McLoughlin  Handout
Spring of 2009
1
14
Handout
The Lemmas We Need for Basic Proofs
Dr. M. P. M. M. McLoughlin
Spring 2009
Add to our Axiom handout in between corollary 3 and
Math 301

P&SI

Dr. McLoughlin 
1
Spring of 2013
1 Handout 1 of 2013
The Axioms of Probability Theory,
With Set Theory and Real Variables, too.
Dr. M. P. M. M. McLoughlin
Revised 2013
Mathematics i
Math 301

P&SI

Dr. McLoughlin

9
Fall of 2011
9 Handout 2 2011 2012
Random Variables: Discrete
Dr. M. P. M. M. McLoughlin
Revised 2011
Note: The basic building block of probability is set theory:
Math 301

P&SI

Dr. McLoughlin

1
Fall of 2011
1 Worksheet 0 Problem 16
Rigourously Done (As on the Board, a Quiz, or a Test)
Dr. M. P. M. M. McLoughlin
Revised 2011
16. (Math 224) Prove or disprov
MATH 301 WORKSHEET 3AAAA
NAME:_
Show all work. If an answer DNE, explain why it does not exist.
Part A (factorals):
1. Compute 7
!
2. Compute (7
3) !
3. Compute (3
7) !
4. Compute (7
4) !
2) !
6.
Math 301

P&SI

Dr. McLoughlin

1
Spring of 2013
1 Worksheet 2011 1A
On the Na or Intuitive Idea of Probability
ve
Computational  Not For Required Board Credit
Dr. M. P. M. M. McLoughlin
Revised 2
Math 301

P&SI

Dr. McLoughlin

5
Fall of 2011
5 Worksheet 2011 2012
Claims about Probability and Conditional Probability
Dr. M. P. M. M. McLoughlin
Revised 2011
1. Section 1
Was material from work
1
Math 301  P & S I  Dr. McLoughlin  Worksheet 4 2
10
Fall of 2011
Worksheet 4 1
2
10 Basic Claims for Discrete Random Variables
Dr. M. P. M. M. McLoughlin
Starred claims are (in my opinion) quite