Modules / Lectures

Sl.No Chapter Name English
1Experiments, Outcomes and EventsPDF unavailable
2Examples: Experiments and sample spacesPDF unavailable
3Operations on EventsPDF unavailable
4Examples: Sample spaces and eventsPDF unavailable
5Sigma Fields and ProbabilityPDF unavailable
6Discrete Sample SpacesPDF unavailable
7Union and PartitionPDF unavailable
8Examples: Probability Calculation for Equally likely OutcomesPDF unavailable
9Definition and Basic PropertiesPDF unavailable
10Bayes' Rule for PartitionsPDF unavailable
11Examples: Conditional probabilityPDF unavailable
12Example of DetectionPDF unavailable
13Example: Coloured Cards from a BoxPDF unavailable
14Independence of EventsPDF unavailable
15Examples: IndependencePDF unavailable
16Combining Independent ExperimentsPDF unavailable
17Conditional IndependencePDF unavailable
18Examples and Computations with Conditional IndependencePDF unavailable
19Binomial and Geometric ModelsPDF unavailable
20Examples: Binomial and Geometric ModelPDF unavailable
21Definition and Discrete SettingPDF unavailable
22RandomVariables and EventsPDF unavailable
23Examples: Discrete random variablesPDF unavailable
24Important distributionsPDF unavailable
25Examples: Discrete PMFsPDF unavailable
26Real-life modeling examplePDF unavailable
27More DistributionsPDF unavailable
28Conditional PMFs, Conditioning on an event, Indicator random variablesPDF unavailable
29Example: Conditioning on an event, Indicator random variablesPDF unavailable
30Multiple random variables and joint distributionPDF unavailable
31Example: Two random variablesPDF unavailable
32Marginal PMFPDF unavailable
33Trinomial joint PMFPDF unavailable
34Events and Conditioning with Two Random VariablesPDF unavailable
35Example: compute marginal and conditional PMFs, probability of eventsPDF unavailable
36Independent random variablesPDF unavailable
37More on independencePDF unavailable
38Example: IID RepetitionsPDF unavailable
39Addition of Random VariablesPDF unavailable
40Sum, Difference and Max of Two Random VariablesPDF unavailable
41More Computations: Min of Two Random VariablesPDF unavailable
42Example: X+Y, X-Y, min(X,Y), max(X,Y)PDF unavailable
43Real line as sample spacePDF unavailable
44Probability density function (pdf)PDF unavailable
45Cumulative distribution function (CDF)PDF unavailable
46Continuous random variablesPDF unavailable
47pdf and CDF of continuous random variablesPDF unavailable
48Spinning pointer examplePDF unavailable
49Important continuous distributionsPDF unavailable
50More continuous distributionsPDF unavailable
51Two-dimensional real sample spacePDF unavailable
52Joint pdf and joint CDFPDF unavailable
53More on assigning probability to regions of x-y plainPDF unavailable
54Darts example and marginal pdfsPDF unavailable
55Independence to two continuous random variablesPDF unavailable
56Examples: two independent continuous random variablesPDF unavailable
57Prob[ X > Y ]: computation of probability of a non-rectangular regionPDF unavailable
58Transformations of random variablesPDF unavailable
59CDF methodPDF unavailable
60pdf methodPDF unavailable
61ExamplesPDF unavailable
62One-to-one transformationsPDF unavailable
63Expected Value or Mean of a Random VariablePDF unavailable
64Properties of ExpectationPDF unavailable
65Expectation Computations for Important DistributionsPDF unavailable
66VariancePDF unavailable
67Examples of VariancePDF unavailable
68Expectations with Two Random VariablesPDF unavailable
69Correlation and CovariancePDF unavailable
70Examples: Continuous DistributionsPDF unavailable
71Examples: SymmetryPDF unavailable
72Examples: Discrete DistributionsPDF unavailable
73Live SessionPDF unavailable

Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available