MTH 341 Probability Calendar Semester 071

Read assignments before class.  Review notes from previous classes regularly.

Number each exercise to the left.
Work only one problem across the page -- i.e. problems should proceed form top to bottom.
You must show your work! Correct mathematical notation must be used.  Partial credit is given when work is shown even if answer is incorrect. However, correct answers without any work shown will in general be given no credit.
If the problem is a computation leading to a final answer, box the answer.
Use pencil and eraser  -- do not scratch out work.

Start homework early and see me for help with problems you don't know how to work! It is inappropriate to ask how to do a problem in class the day it is due!!!! Staple your pages together before submitting.  My office is Core 257-- See my schedule for office hours or call or send email for an appointment. I am always delighted to help.

 

Date

Exams or Quizzes

 

Reading Assignments

Assignments Due

Wed.
 8/22

 

Section 1.2

Read section 1.1 for your own interest only.  In Section 1.2, we focus on learning terms and definitions and Venn Diagrams,   While a nice example of proof, you are not responsible for example 1.8 of section 1.2

 

Fri.
8/24

 

Sections 1.3, 1.4 

The three probability axioms and statements of the resulting three theorems in section 1.3 and   examples are important.   Results from section 1.4  (theorems and corollaries)  will be used over and over in this course!

 

Mon.
8/27

 

Sections  1.5, 1.6, 1.7

You may skip sections Section 1.5, 1.6 and 1.7 or read lightly – skipping formal arguments.  Know main points that I discuss in class about selecting points at random from an interval (uniform distribution). 

Set 1:  Section 1.2

Wed.
8/29

 

Sections 2.1, 2.2, 2.3

In Section 2.2 we are dealing with the counting principle ( the product rule for counting) with applications to some important examples.  Section 2.3 deals with permutations (ordered arrangements of objects)

 

Fri.
8/31

 


Section 2.4 deals with combinations (unordered selections of objects).

Set 2:  Section 1.4

Set 3:  Section 1.7 and Review ex.

Mon.
9/03

 

 


LABOR DAY NOT CLASS


Wed.
9/05

 

Section 2.4

 Section 2.4 deals with combinations (unordered selections of objects).


Set 4:  Section 2.2

Fri.
9/07

 

 

 


Mon.
9/10

 

Section 3.1

In this section we look at the  conditional probability of an event given that another event has occurred

Set 5
Section 2.3

Wed.
9/12

 

Section 3.2

 We rearrange the conditional probability formula to obtain the Law of Multiplication

 Set 6:  Section 2.4

Fri.
9/14

 

Section 3.3

 The Law of Total Probability that allows us to calculate the probability of an event A using  P(A|B) and P(A|Bc).

 

Mon.
9/17

 

 

 

Set 7:
Section 3.1

Wed.
9/19

 

 Section 3.4

 

Set 8:  Section 3.2

Fri.
9/21

 

 

 

Mon.
9/24

 

 

 Section 3.5



Set 9:  Section 3.3

Wed.
9/26

Exam 1

 

 

Set 10:  Section 3.4

Fri.
9/28

 

 

 

 

Mon.
10/01

 

 Section 4.1, 4.2

 Defining concept of random variable  and its distribution function

 

Wed.
10/03

 

 Section 4.3

 Definition of a random variable's  probability function.

 Set 11:  Section 3.5

Fri.
10/05

 

 Section 4.4

 Expectation of a random variable.

 Set 12:  Section 4.2

Mon.
10/08

 

 Section 4.5

 Variance and Moments of random variables.

 Set 13:  Section 4.3

Wed.
10/10

 

 Section 4.6

 

 Standardizing a random variable

 Set 14:  Section 4.4

Fri
10/12

 

 

 NO CLASS -- MID TERM BREAK


Mon.
10/15

 

 Section 5.1

Bernoulli and Binomial random variables; Binomials, calculating related probabilities, expected values and variances.

 Set 15:  Section 4.5 and 4.6

Wed.
10/17

 

 Section 5.2

 

 Poisson random variable. Using it to approximate binomial random variables. Definition and properties of a Poisson process.  Probability function formula for Poisson random variable.

 Set 16:  Section 5.1

Fri.
10/19

 

Section 5.3

 Other discrete random variables:  Geometric, hypergeometric, and negtive binomial random variables

 

Mon.
10/22

 

 

 

Set 17:  Section 5.2

Wed.
10/24

 

 Section 6.1

 Continuous random variables,  density function for continuous random variable. Relationship between density and distribution function.  Calculating various probabilities from each

 Set 18:  Section 5.3

Fri.
10/26

 Exam 2

 

 

 

Mon.
10/29

 

 Section 6.2

 Through pexample 6.5.   Computing distribution function and density function of a function h(X) from the density of random variable X.

 

Wed.
10/31

 

 Section 6.3

 Computing expectation, variance and standard deviation of continuous random variables.

 Section 6.1

Fri.
11/2

 

 Section 7.1

 Uniform random variables

 Section 6.2

Mon.
11/05

 

 Section 7.2

 Normally distributed random variables;  approximation to binomial distribution.

 Section 6.3

Wed.
11/07

 

 

 

 Section 7.1

Fri.
11/9

 

 Section 7.3

 Exponential distribution. Density, relationship to a Poisson process

 Section 7.2

Mon.
11/12

 

 Section 7.4

 Gamma Distribution

 

Wed.
11/14

 

  Section 8.1

 Bivariate Distribution

 Section 7.3

Fri.
11/16

 

 

 

 

 Section 7.4

Mon 11/19

Wed 11/21

Fri  11/23

 

 

 THANKSGIVING BREAK -- No Class

 

Mon.
11/26

 

Sections 8.2

 

 

Wed.
11/28

 

 

 

 Section 8.1

Fri.
11/30

 EXAM 3

 

 

 Section 8.2

Mon.
12/03

 

 Sections 10.1, 10.2

 01.3

 10.1:  Expectation of sums of random variables.   Indicator random variables.
10.2 and 10.3:  Covariance and Correlation of jointly distributed random variables.   Variance of sums of independent random variables.

 

Wed.
12/06

 

 Section 11.5

  Central Limit Theorem  -- applications

 Section 10.2

Fri.
12/07

 

 

 

 Section 10.1

Tues.
12/11

 

Final Exam
8:00 a.m.

 

 

 

Set Number

Written Problem Assignments

1

Section 1.2:  2, 5, 6, 7, 9, 10 -- draw Venn Diagrams for these also , 11

2

Section 1.4:  1, 2, 3, 4, 5, 6, 8,  12, 16, 18, 22, 26

3

Section 1.7 2, 4, 5, 10 and   Review Exercise 10, page 36.

4

Section 2.2  2, 4, 5, 6, 7, 8, 10, 15, 18

5

Section 2.3  1, 2, 4, 6, 9, 10, 12, 18, 21

6

Section 2.4  1, 2, 3, 4, 5, 6, 7, 15, 16, 18, 22

7

Section 3.1  2, 4,  7, 8, 9, 16

8

Section 3.2  2, 4, 6, 8

9

Section 3.3  1, 2, 3, 4, 6, 14, 15

10

Section 3.4  1, 2, 3, 6, 8, 12, 14

11

Section 3.5  1, 3, 4, 6, 8, 12, 15, 22

12

Section 4.2  1, 2, 5, 10, 11

13

Section 4.3  1, 2, 4, 7, 8

14

Section 4.4 2, 3,4, 5, 6

15

Section 4.5 1, 2, 4, 6, 7, 8; 
Section 4.6  2

16

Section 4.2  1, 2, 5, 10, 11

17

Section 5.1:  1, 2, 6, 9, 10, 13, 18

18

Section 5.2:  1, 2, 4, 5, 6, 11, 12, 14, 16

19

Section 5.3:  1,  3, 4, 5, 8, 13, 16

20

Section 6.1:  1, 2, 5, 8

21

Section 6.2:  1, 2, 4,  5 

22

Section 6.3:  1, 2, 4, 8, 9

23

Section 7.1:  1, 2, 4, 5, 10

24

Section 7.2: 1, 2, 6, 8, 9, 10

25

Section 7.3  1, 2, 3, 4, 5, 7

26

Section 7.4  3, 5, 6

27

Section 8.1:  1, 2, 3, 6, 9;  

28

Section 8.2:  1, 2, 9, 11

29

Section 10.1:  4, 5, 12

30

Section 10.2:  2, 3, 4, 13, 18

Cancelled Section 10.3  1, 2

31

Section 11.5:  1, 2, 3, 6, 9;