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Course Coordinated by
IIT Madras
NPTEL
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Courses
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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
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