Existing User
New User
Forgot Password
Login
Email
^{*}
Password
^{*}
Register
Email ID
^{*}
Password
^{*}
Confirm Password
^{*}
Name
^{*}
User Type
^{*}
Select
Student
Faculty
Others
Institute
^{*}
Branch
^{*}
Type the above text
^{*}
Forgot Password
Email
^{*}
Home

About Us

FAQ

Courses

Contact Us

SignIn
Syllabus

Lectures
 Downloads  FAQ 
Ask a question

Course Coordinated by
IIT Madras
NPTEL
>>
Courses
>>
Electrical Engineering
>> NOC:Probability Foundations for Electrical Engineers (Video) >>
Experiments, Outcomes and Events
Question in Lecture
Week 0
Experiments, Outcomes and Events
Examples: Experiments and sample spaces
Week 1
Operations on Events
Examples: Sample spaces and events
Sigma Fields and Probability
Discrete Sample Spaces
Union and Partition
Examples: Probability Calculation for Equally likely Outcomes
Week 2
Definition and Basic Properties
Bayes' Rule for Partitions
Examples: Conditional probability
Example of Detection
Example: Coloured Cards from a Box
Week 3
Independence of Events
Examples: Independence
Combining Independent Experiments
Conditional Independence
Examples and Computations with Conditional Independence
Binomial and Geometric Models
Examples: Binomial and Geometric Model
Week 4
Definition and Discrete Setting
RandomVariables and Events
Examples: Discrete random variables
Important distributions
Examples: Discrete PMFs
Reallife modeling example
More Distributions
Week 5
Conditional PMFs, Conditioning on an event, Indicator random variables
Example: Conditioning on an event, Indicator random variables
Multiple random variables and joint distribution
Example: Two random variables
Marginal PMF
Trinomial joint PMF
Events and Conditioning with Two Random Variables
Example: compute marginal and conditional PMFs, probability of events
Independent random variables
More on independence
Example: IID Repetitions
Addition of Random Variables
Sum, Difference and Max of Two Random Variables
More Computations: Min of Two Random Variables
Example: X+Y, XY, min(X,Y), max(X,Y)
Week 6
Real line as sample space
Probability density function (pdf)
Cumulative distribution function (CDF)
Continuous random variables
pdf and CDF of continuous random variables
Spinning pointer example
Important continuous distributions
More continuous distributions
Week 7
Twodimensional real sample space
Joint pdf and joint CDF
More on assigning probability to regions of xy plain
Darts example and marginal pdfs
Independence to two continuous random variables
Examples: two independent continuous random variables
Prob[ X > Y ]: computation of probability of a nonrectangular region
Transformations of random variables
CDF method
pdf method
Examples
Onetoone transformations
Week 8
Expected Value or Mean of a Random Variable
Properties of Expectation
Expectation Computations for Important Distributions
Variance
Examples of Variance
Expectations with Two Random Variables
Correlation and Covariance
Examples: Continuous Distributions
Examples: Symmetry
Examples: Discrete Distributions
Live Session
Live Session
Ask a Question
Question Topics :
Question:
Max: 300 char
NOTE: Before you post question check if your question already exists.Please do not repeat questions.
All Questions
There are no questions in this Lecture.
All Questions for this Course
There are no questions in this Lecture
Disclaimer: We will take every effort to answer your question.However, in case of delay or no response NPTEL claims no responsibility.
Site Maintained by Web Studio, IIT Madras. Contact Webmaster:
nptel@iitm.ac.in