(76 intermediate revisions by 8 users not shown)
Line 2: Line 2:
 
[[Category:ECE302]]
 
[[Category:ECE302]]
 
[[Category:ECE302Spring2013Boutin]]
 
[[Category:ECE302Spring2013Boutin]]
 +
[[Category:probability]]
 +
  
 
=Rhea Section for [[ECE302]], Professor [[user:mboutin|Boutin]], Spring 2013=
 
=Rhea Section for [[ECE302]], Professor [[user:mboutin|Boutin]], Spring 2013=
Line 8: Line 10:
 
<div style="border-bottom: rgb(68,68,136) 1px solid; text-align: center; border-left: rgb(51,51,136) 4px solid; padding-bottom: 2em; margin: auto; padding-left: 2em; width: 30em; padding-right: 2em; background: rgb(238,238,255); border-top: rgb(68,68,136) 1px solid; border-right: rgb(68,68,136) 1px solid; padding-top: 2em">
 
<div style="border-bottom: rgb(68,68,136) 1px solid; text-align: center; border-left: rgb(51,51,136) 4px solid; padding-bottom: 2em; margin: auto; padding-left: 2em; width: 30em; padding-right: 2em; background: rgb(238,238,255); border-top: rgb(68,68,136) 1px solid; border-right: rgb(68,68,136) 1px solid; padding-top: 2em">
 
Message Area:  
 
Message Area:  
−
 
+
*Sample quizzes has been uploaded to help you to review the final exam!
−
You can earn up to 0.5% bonus points on your course grade by [[Bonus_point_1_ECE302_Spring2012_Boutin|inventing a practice problem and sharing it]] with your classmate. See details [[Bonus_point_1_ECE302_Spring2012_Boutin|here]].  
+
*Homework 7 solution has been posted.
−
</div>  
+
</div>  
 
== Course Information  ==
 
== Course Information  ==
  
Line 24: Line 26:
 
**Test 1: Friday February 8, 2013.
 
**Test 1: Friday February 8, 2013.
 
**Test 2: Wednesday April 3, 2013.
 
**Test 2: Wednesday April 3, 2013.
−
**Final: TBD
+
**Final: Wednesday May 1, 2013
  
 
----
 
----
Line 32: Line 34:
 
----
 
----
 
== Lecture Blog  ==
 
== Lecture Blog  ==
−
[[Lecture1_blog_ECE302S13_Boutin|Lecture 1]], [[Lecture2_blog_ECE302S13_Boutin|2]], [[Lecture3_blog_ECE302S13_Boutin|3]],[[Lecture4_blog_ECE302S13_Boutin|4]],[[Lecture5_blog_ECE302S13_Boutin|5]], [[Lecture6_blog_ECE302S13_Boutin|6]], [[Lecture7_blog_ECE302S13_Boutin|7]]
+
*Week(1-4):
 +
:[[Lecture1_blog_ECE302S13_Boutin|1]], [[Lecture2_blog_ECE302S13_Boutin|2]], [[Lecture3_blog_ECE302S13_Boutin|3]], [[Lecture4_blog_ECE302S13_Boutin|4]],[[Lecture5_blog_ECE302S13_Boutin|5]], [[Lecture6_blog_ECE302S13_Boutin|6]], [[Lecture7_blog_ECE302S13_Boutin|7]],[[Lecture8_blog_ECE302S13_Boutin|8]],[[Lecture9_blog_ECE302S13_Boutin|9]],[[Lecture10_blog_ECE302S13_Boutin|10]],[[Lecture11_blog_ECE302S13_Boutin|11]]
 +
*Week(5-8)
 +
:[[Lecture12_blog_ECE302S13_Boutin|12]],[[Lecture13_blog_ECE302S13_Boutin|13]],[[Lecture14_blog_ECE302S13_Boutin|14]],[[Lecture15_blog_ECE302S13_Boutin|15]],[[Lecture16_blog_ECE302S13_Boutin|16]],[[Lecture17_blog_ECE302S13_Boutin|17]],[[Lecture18_blog_ECE302S13_Boutin|18]],[[Lecture19_blog_ECE302S13_Boutin|19]],[[Lecture20_blog_ECE302S13_Boutin|20]],[[Lecture21_blog_ECE302S13_Boutin|21]],[[Lecture22_blog_ECE302S13_Boutin|22]],[[Lecture23_blog_ECE302S13_Boutin|23]]
 +
*Week(9-12) <Week 10- Spring Break!>
 +
:[[Lecture24_blog_ECE302S13_Boutin|24]],[[Lecture25_blog_ECE302S13_Boutin|25]],[[Lecture26_blog_ECE302S13_Boutin|26]],[[Lecture27_blog_ECE302S13_Boutin|27]],[[Lecture28_blog_ECE302S13_Boutin|28]],[[Lecture29_blog_ECE302S13_Boutin|29]],[[Lecture30_blog_ECE302S13_Boutin|30]],[[Lecture31_blog_ECE302S13_Boutin|31]],[[Lecture32_blog_ECE302S13_Boutin|32]]
 +
*Week(13-16)
 +
:[[Lecture33_blog_ECE302S13_Boutin|33]],[[Lecture34_blog_ECE302S13_Boutin|34]],[[Lecture35_blog_ECE302S13_Boutin|35]],[[Lecture36_blog_ECE302S13_Boutin|36]],[[Lecture37_blog_ECE302S13_Boutin|37]],[[Lecture38_blog_ECE302S13_Boutin|38]],[[Lecture39_blog_ECE302S13_Boutin|39]],[[Lecture40_blog_ECE302S13_Boutin|40]],[[Lecture41_blog_ECE302S13_Boutin|41]],[[Lecture42_blog_ECE302S13_Boutin|42]],[[Lecture43_blog_ECE302S13_Boutin|43]],[[Lecture44_blog_ECE302S13_Boutin|44]]
 +
*Week(17) Final Exam Week
 +
:Final exam is on Wednesday May 1, 1:00p - 3:00p STEW 130
 +
 
 
----
 
----
 
== Collectively Solved [[:Category:Problem_solving|Practice Problems]]  ==
 
== Collectively Solved [[:Category:Problem_solving|Practice Problems]]  ==
Line 42: Line 54:
 
*Conditional Probability
 
*Conditional Probability
 
**[[Practice_Question_Monty_Hall_ECE302S13Boutin|Explain the Monty Hall problem using conditional probability]]
 
**[[Practice_Question_Monty_Hall_ECE302S13Boutin|Explain the Monty Hall problem using conditional probability]]
 +
*Discrete Random Variables
 +
**[[Practice_Question_probability_normalization_ECE302S13Boutin|Normalizing the probability mass function of a discrete random variable]]
 +
*Continuous random variables
 +
**[[Practice_Question_gaussian_normalization_ECE302S13Boutin|Normalizing the probability mass function of a Gaussian random variable]]
 +
**[[Practice_Question_joint_from_marginals_independent_variables_ECE302S13Boutin|Obtaining the joint pdf from the marginal pdfs of two independent variables]]
 +
**[[Practice_Question_linear_random_variable_probability_ECE302S13Boutin|Compute a probability]]
 +
**[[Practice_Question_uniform_random_variable_CDF_ECE302S13Boutin|Find the CDF]]
 +
**[[Practice_Question_uniform_random_variable_mean_ECE302S13Boutin|Compute the mean]]
 +
**[[Practice_Question_moment_order_zero_Gaussian_ECE302S13Boutin|Compute the zero-th order moment of a Gaussian]]
 +
**[[Practice_Question_moment_order_one_Gaussian_ECE302S13Boutin|Compute the first order moment of a Gaussian]]
 +
**[[Practice_Question_moment_order_two_Gaussian_ECE302S13Boutin|Compute the second order moment of a Gaussian]]
 +
**[[Practice_Question_comparing_probabilities_Gaussians_ECE302S13Boutin|Comparing probabilities for different Gaussians]]
 +
**[[Practice_Question_probability_meeting_occurs_ECE302S13Boutin|Compute the probability that a meeting will occur]]
 +
**[[Practice_Question_find_conditional_pdf_ECE302S13Boutin|Find the conditional probability density function]]
 +
**[[Practice_Question_find_conditional_ellipse_ECE302S13Boutin|Find the conditional probability density function (again)]]
 +
**[[Practice_Question_find_conditional_event_ECE302S13Boutin|Find the conditional probability density function (conditioned on an event this time)]]
 +
**[[Practice_Question_independence_ECE302S13Boutin|Determine if X and Y independent from their joint density]]
 +
**[[Practice_Question_characteristic_function_ECE302S13Boutin|Recover the pmf corresponding to this characteristic function]]
 +
**[[Practice_Question_characteristic_function_exponential_random_variable_ECE302S13Boutin|Obtain the characteristic function of an exponential random variable]]
 +
**[[Practice_Question_characteristic_linear_function_random_variable_ECE302S13Boutin|pdf of Y=aX+b ]]
 +
**[[Practice_Question_2D_Gaussian_ECE302S13Boutin|Various Questions about a 2D Gaussian]]
 +
*Random Processes
 +
**[[Practice_Question_what_is_stationary_increment_property_sum_process_ECE302S13|the stationary increment property of a sum process]]
 +
----
 +
==Quizzes==
 +
*[[quiz1_set_definition_ECE302_S13_Boutin|Quiz 1 on the definition of a set]]
 +
*[[quiz2_set_operation_prove_De_Morgan_Law_ECE302_S13_Boutin|Quiz 2 on proving De Morgan's law]]
 +
*[[quiz3_set_theory_probability_S13_Boutin|Quiz 3 set theoretic probability]]
 +
*[[quiz4_expectation_discrete_RV_ECE302_S13_Boutin|Quiz 4 Expectation of discrete random variable]]
 +
*[[quiz5_cdf_GaussianRV_ECE302_S13_Boutin|Quiz 5 cdf of Normal random variable (part1)]]
 +
*[[quiz6_cdf_GaussianRV2_ECE302_S13_Boutin|Quiz 6 cdf of Normal random variable (part2)]]
 +
*[[quiz7_expectation_continuousRV_ECE302_S13_Boutin|Quiz 7 Expectation of continuous random variable]]
 +
*[[quiz8_Poisson_process_ECE302_S13_Boutin|Quiz 8 Poisson Process]]
 
----
 
----
 
==Homework==
 
==Homework==
 
*[[HW1_ECE302_S13_Boutin|HW1]]
 
*[[HW1_ECE302_S13_Boutin|HW1]]
−
*Hw2
+
*[[HW2_ECE302_S13_Boutin|HW2]]
−
*Hw3
+
*[[HW3_ECE302_S13_Boutin|HW3]]
 +
*[[HW4_ECE302_S13_Boutin|HW4]]
 +
*[[HW5_ECE302_S13_Boutin|HW5]]
 +
*[[HW6_ECE302_S13_Boutin|HW6]]
 +
*[[HW7_ECE302_S13_Boutin|HW7]] (Includes all practice problems assigned after the lecture-- see lecture blogs )
  
−
 
+
==Homework Discussion and Solutions==
−
----
+
*[[hw1_discussion_sln_ECE302_S13_Boutin|HW1_solution]]
−
==Materials Covered==
+
*[[hw2_discussion_sln_ECE302_S13_Boutin|HW2_solution]]
−
* Probability Models (Ch.1)
+
*[[hw3_discussion_sln_ECE302_S13_Boutin|HW3_solution]]
−
* Axioms of Probability, counting, conditional probability, independence(Ch.2)
+
*[[hw4_discussion_sln_ECE302_S13_Boutin|HW4_solution]]
−
* Random variables, Expected value and moments, probability mass function (Ch.3)
+
*[[hw6_discussion_sln_ECE302_S13_Boutin|HW6_solution]]
−
* Cumulative distribution function, functions of a random variable (Ch.4)
+
*[[hw7_discussion_sln_ECE302_S13_Boutin|HW7_solution]]
−
* Two random variables(r.v.), joint cdf of 2 r.v., independence of 2 r.v., conditional expectation (Ch.5)
+
−
* Vector r.v., jointly Gaussian r.v, estimation of r.v. (Ch.6)
+
−
* Definition of Random Processes(r.p.), Poison r.p., Random Walk (Ch.9)
+
−
* Power spectral density, response of linear systems to random signals (Ch.10)
+
 
----
 
----
 
== Relevant Resources  ==
 
== Relevant Resources  ==
−
*[[Probability_practice_problems_list|Practice Problems]]
+
*[[Probability_practice_problems_list|Practice Problems on Probability]]
 
*Rhea's [[Collective Table of Formulas| Collective Table of Formulas]].  
 
*Rhea's [[Collective Table of Formulas| Collective Table of Formulas]].  
 
**[[Probability_Formulas|Probability Formulas]]
 
**[[Probability_Formulas|Probability Formulas]]
 
**[[Probability_Distribution|Probability Distributions]]
 
**[[Probability_Distribution|Probability Distributions]]
 +
*A tutorial on [[counting_subsets_of_sets|Counting Partitions or Subsets]], by [[Math_squad|Math Squad]] member [[user:somussma|Steve Mussmann]]
 +
**[[Counting_subsets_of_sets_examples|examples of counting problems]]
 +
**[[Counting_subsets_of_sets_problems|practice problems]]
 +
*A tutorial about [[bayes_theorem_S13|Bayes' Theorem]], by [[Math_squad|Math Squad]] member [[user:Mhossain|Maliha Hossain]]
 +
**[[bayes_theorem_eg1_S13|Example 1: Quality Control]]
 +
**[[bayes_theorem_eg2_S13|Example 2: False Positive Paradox]]
 +
**[[bayes_theorem_eg3_S13|Example 3: Monty Hall Problem]]
 
----
 
----
 
== Honors Projects ==
 
== Honors Projects ==
Line 73: Line 125:
  
 
==Exercises==
 
==Exercises==
−
:[[Bonus_point_1_ECE302_Spring2012_Boutin| 1. Invent a problem on conditional probability or independence and share it with your classmates]]
+
#[[Bonus_point_1_ECE302_Spring2012_Boutin| Invent a problem on conditional probability or independence and share it with your classmates]] (0.5% course grade bonus)
−
 
+
#[[Bonus_point_2_ECE302_Spring2012_Boutin| Find a mistake in your classmates' solutions]] (0.5% course grade bonus)
−
 
+
#[[Bonus_point_3_ECE302_Spring2012_Boutin| Invent a problem on expectation and/or variance of a discrete random variable]] (0.5% course grade bonus)
 +
#[[Bonus_point_4_ECE302_Spring2012_Boutin| Share your solution of hw 5]] (0.5% course grade bonus)
 +
#[[Bonus_point_5_ECE302_Spring2012_Boutin| Explain the stationary increment property of sum processes]] (0.5% course grade bonus)
 
==Class Project==
 
==Class Project==
  
Line 87: Line 141:
 
! Topic Description  
 
! Topic Description  
 
! Student Name/nickname
 
! Student Name/nickname
 +
|-
 +
| 0
 +
| [[template_bonus_point_project_page_ECE301S12|Project Template]]
 +
|
 
|-
 
|-
 
| 1  
 
| 1  
−
| Something related to generating random variables
+
| [[Methods of generating random variables|Methods of generating random variables]]
−
| Name
+
| Zhenming Zhang
 
|-
 
|-
 
| 2  
 
| 2  
−
| Something related to Poisson random variables
+
| [[Applications of Poisson Random Variables|Applications of Poisson Random Variables]]
−
| Name
+
| Trevor Holloway
 
|-
 
|-
 
| 3  
 
| 3  
Line 112: Line 170:
 
| Name
 
| Name
 
|-
 
|-
 +
| 7
 +
| [[ECE302S13Notes|TF101 Slectures]]
 +
| Bob Wayner
 +
|-
 +
| 8
 +
| [[CorrelationvsCovariance|Correlation vs. Covariance]]
 +
| Blue
 
|}
 
|}
 
----
 
----
 
[[List_of_Course_Wikis|Back to List of Course Wikis]]
 
[[List_of_Course_Wikis|Back to List of Course Wikis]]

Latest revision as of 19:14, 30 April 2013


Rhea Section for ECE302, Professor Boutin, Spring 2013

MWF 12:30- 1:20pm in MSEE B012

Message Area:

  • Sample quizzes has been uploaded to help you to review the final exam!
  • Homework 7 solution has been posted.

Course Information

  • Instructor: Prof. Mimi
  • Teaching Assistant: Wei-Kang Hsu
    • Email: hsu59 at purdue dot you know what
    • Office hours: TF 2:00-4:00 pm EE209
  • Schedule
  • Course Syllabus
  • Important Dates:
    • Test 1: Friday February 8, 2013.
    • Test 2: Wednesday April 3, 2013.
    • Final: Wednesday May 1, 2013

Textbook

Probability, Statistics, and Random Processes for Electrical Engineering, 3rd Edition, by Alberto Leon-Garcia, Pearson Education, Inc., 2008, ISBN 0-13-601641-3

Lecture Blog

  • Week(1-4):
1, 2, 3, 4,5, 6, 7,8,9,10,11
  • Week(5-8)
12,13,14,15,16,17,18,19,20,21,22,23
  • Week(9-12) <Week 10- Spring Break!>
24,25,26,27,28,29,30,31,32
  • Week(13-16)
33,34,35,36,37,38,39,40,41,42,43,44
  • Week(17) Final Exam Week
Final exam is on Wednesday May 1, 1:00p - 3:00p STEW 130

Collectively Solved Practice Problems

Quizzes

Homework

  • HW1
  • HW2
  • HW3
  • HW4
  • HW5
  • HW6
  • HW7 (Includes all practice problems assigned after the lecture-- see lecture blogs )

Homework Discussion and Solutions

Relevant Resources

Honors Projects

Your turn! Bonus Point opportunities

Exercises

  1. Invent a problem on conditional probability or independence and share it with your classmates (0.5% course grade bonus)
  2. Find a mistake in your classmates' solutions (0.5% course grade bonus)
  3. Invent a problem on expectation and/or variance of a discrete random variable (0.5% course grade bonus)
  4. Share your solution of hw 5 (0.5% course grade bonus)
  5. Explain the stationary increment property of sum processes (0.5% course grade bonus)

Class Project

Students in ECE302 Spring 2013 have the opportunity to earn up to a 3% bonus by contributing a Rhea page on a subject related to probability. To pick a subject, simply write your name next to it. Your page will be graded based on content as well as interactions with other people (page views, comments/questions on the page, etc.). The number of links to other courses and subjects will also be taken into account: the more the merrier! Please do not simply copy the lecture notes and do not plagiarize. Read Rhea's copyright policy before proceeding.

Topic Number Topic Description Student Name/nickname
0 Project Template
1 Methods of generating random variables Zhenming Zhang
2 Applications of Poisson Random Variables Trevor Holloway
3 Something related to Exponential random variables Name
4 Something related to Gaussian random variables Name
5 Something related to the Estimation of random variables Name
6 Automatic music composition project Name
7 TF101 Slectures Bob Wayner
8 Correlation vs. Covariance Blue

Back to List of Course Wikis

Retrieved from "https://www.projectrhea.org/rhea/index.php?title=2013_Spring_ECE_302_Boutin&oldid=55822"
Shortcuts
Help Main Wiki Page Random Page Special Pages Log in
Search

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal