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NOC:Probability Foundations for Electrical Engineers
broucher Course Brochure
NOC:Probability Foundations for Electrical Engineers
by Dr Andrew Thangaraj

This course will introduce the basic foundational aspects of probability theory primarily to an electrical engineering audience. In communications, signal processing and networking applications, probability theory and models play a vital role in design and implementation. This course will prepare a student to take courses such as Digital/Wireless C...

0.0  (0 Ratings) 0 Learner
validy img Validity Unlimited
level All Level
level English
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Program Fee
FREE
About This Course

This course will introduce the basic foundational aspects of probability theory primarily to an electrical engineering audience. In communications, signal processing and networking applications, probability theory and models play a vital role in design and implementation. This course will prepare a student to take courses such as Digital/Wireless C...

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Course Curriculum
10 Sections | 71 Lecture | 28h 48min total length
Expand all sections
NOC:Probability Foundations for Electrical Engineers

Week 0

| 01h 03min total length
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    Experiments, Outcomes and Events

    30m <?php echo $alt; ?>
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    Examples: Experiments and sample spaces

    33m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 1

| 03h 17min total length
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    Operations on Events

    26m <?php echo $alt; ?>
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    Examples: Sample spaces and events

    39m <?php echo $alt; ?>
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    Sigma Fields and Probability

    39m <?php echo $alt; ?>
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    Discrete Sample Spaces

    23m <?php echo $alt; ?>
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    Union and Partition

    27m <?php echo $alt; ?>
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    Examples: Probability Calculation for Equally likely Outcomes

    40m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 2

| 02h 30min total length
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    Definition and Basic Properties

    40m <?php echo $alt; ?>
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    Bayes' Rule for Partitions

    10m <?php echo $alt; ?>
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    Examples: Conditional probability

    39m <?php echo $alt; ?>
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    Example of Detection

    39m <?php echo $alt; ?>
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    Example: Coloured Cards from a Box

    20m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 3

| 02h 40min total length
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    Independence of Events

    24m <?php echo $alt; ?>
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    Examples: Independence

    37m <?php echo $alt; ?>
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    Combining Independent Experiments

    15m <?php echo $alt; ?>
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    Conditional Independence

    21m <?php echo $alt; ?>
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    Examples and Computations with Conditional Independence

    13m <?php echo $alt; ?>
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    Binomial and Geometric Models

    21m <?php echo $alt; ?>
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    Examples: Binomial and Geometric Model

    26m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 4

| 02h 12min total length
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    Definition and Discrete Setting

    28m <?php echo $alt; ?>
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    RandomVariables and Events

    17m <?php echo $alt; ?>
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    Examples: Discrete random variables

    17m <?php echo $alt; ?>
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    Important distributions

    17m <?php echo $alt; ?>
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    Examples: Discrete PMFs

    17m <?php echo $alt; ?>
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    Real-life modeling example

    17m <?php echo $alt; ?>
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    More Distributions

    16m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 5

| 05h 56min total length
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    Conditional PMFs, Conditioning on an event, Indicator random variables

    30m <?php echo $alt; ?>
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    Example: Conditioning on an event, Indicator random variables

    30m <?php echo $alt; ?>
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    Multiple random variables and joint distribution

    20m <?php echo $alt; ?>
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    Example: Two random variables

    24m <?php echo $alt; ?>
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    Marginal PMF

    17m <?php echo $alt; ?>
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    Trinomial joint PMF

    28m <?php echo $alt; ?>
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    Events and Conditioning with Two Random Variables

    24m <?php echo $alt; ?>
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    Independent random variables

    16m <?php echo $alt; ?>
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    More on independence

    32m <?php echo $alt; ?>
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    Example: IID Repetitions

    25m <?php echo $alt; ?>
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    Addition of Random Variables

    32m <?php echo $alt; ?>
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    Sum, Difference and Max of Two Random Variables

    27m <?php echo $alt; ?>
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    More Computations: Min of Two Random Variables

    14m <?php echo $alt; ?>
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    Example: X Y, X-Y, min(X,Y), max(X,Y)

    30m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 6

| 02h 41min total length
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    Real line as sample space

    30m <?php echo $alt; ?>
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    Probability density function (pdf)

    19m <?php echo $alt; ?>
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    Cumulative distribution function (CDF)

    29m <?php echo $alt; ?>
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    Continuous random variables

    15m <?php echo $alt; ?>
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    pdf and CDF of continuous random variables

    15m <?php echo $alt; ?>
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    Spinning pointer example

    15m <?php echo $alt; ?>
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    Important continuous distributions

    15m <?php echo $alt; ?>
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    More continuous distributions

    20m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 7

| 04h 04min total length
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    Two-dimensional real sample space

    19m <?php echo $alt; ?>
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    Joint pdf and joint CDF

    19m <?php echo $alt; ?>
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    More on assigning probability to regions of x-y plain

    20m <?php echo $alt; ?>
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    Darts example and marginal pdfs

    29m <?php echo $alt; ?>
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    Independence to two continuous random variables

    29m <?php echo $alt; ?>
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    Examples: two independent continuous random variables

    15m <?php echo $alt; ?>
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    Prob computation of probability of a non-rectangular region

    14m <?php echo $alt; ?>
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    Transformations of random variables

    19m <?php echo $alt; ?>
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    CDF method

    15m <?php echo $alt; ?>
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    pdf method

    24m <?php echo $alt; ?>
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    Examples

    23m <?php echo $alt; ?>
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    One-to-one transformations

    15m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Week 8

| 03h 16min total length
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    Expected Value or Mean of a Random Variable

    24m <?php echo $alt; ?>
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    Properties of Expectation

    13m <?php echo $alt; ?>
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    Expectation Computations for Important Distributions

    32m <?php echo $alt; ?>
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    Variance

    32m <?php echo $alt; ?>
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    Examples of Variance

    19m <?php echo $alt; ?>
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    Expectations with Two Random Variables

    14m <?php echo $alt; ?>
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    Correlation and Covariance

    14m <?php echo $alt; ?>
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    Examples: Continuous Distributions

    30m <?php echo $alt; ?>
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    Examples: Symmetry

    13m <?php echo $alt; ?>
NOC:Probability Foundations for Electrical Engineers

Live Session

| 01h 04min total length
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    Live Session

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show 7 more sections
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