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Sl.No Chapter Name MP4 Download
1Experiments, Outcomes and EventsDownload
2Examples: Experiments and sample spacesDownload
3Operations on EventsDownload
4Examples: Sample spaces and eventsDownload
5Sigma Fields and ProbabilityDownload
6Discrete Sample SpacesDownload
7Union and PartitionDownload
8Examples: Probability Calculation for Equally likely OutcomesDownload
9Definition and Basic PropertiesDownload
10Bayes' Rule for PartitionsDownload
11Examples: Conditional probabilityDownload
12Example of DetectionDownload
13Example: Coloured Cards from a BoxDownload
14Independence of EventsDownload
15Examples: IndependenceDownload
16Combining Independent ExperimentsDownload
17Conditional IndependenceDownload
18Examples and Computations with Conditional IndependenceDownload
19Binomial and Geometric ModelsDownload
20Examples: Binomial and Geometric ModelDownload
21Example: Random walkDownload
22Definition and Discrete SettingDownload
23Random Variables and EventsDownload
24Examples: Discrete random variablesDownload
25Important distributionsDownload
26Examples: Discrete PMFsDownload
27Real-life modeling exampleDownload
28More DistributionsDownload
29Conditional PMFs, Conditioning on an event, Indicator random variablesDownload
30Example: Conditioning on an event, Indicator random variablesDownload
31Multiple random variables and joint distributionDownload
32Example: Two random variablesDownload
33Marginal PMFDownload
34Trinomial joint PMFDownload
35Events and Conditioning with Two Random VariablesDownload
36Example: Compute Marginal and Conditional PMFs, Probability of EventsDownload
37Independent random variablesDownload
38More on independenceDownload
39Example: IID RepetitionsDownload
40Addition of Random VariablesDownload
41Sum, Difference and Max of Two Random VariablesDownload
42More Computations: Min of Two Random VariablesDownload
43Example: X+Y, X-Y, min(X,Y), max(X,Y)Download
44Real line as sample spaceDownload
45Probability density function (pdf)Download
46Cumulative distribution function (CDF)Download
47Continuous random variablesDownload
48pdf and CDF of Continuous Random VariablesDownload
49Spinning pointer exampleDownload
50Important continuous distributionsDownload
51More continuous distributionsDownload
52Two-dimensional real sample spaceDownload
53Joint pdf and joint CDFDownload
54More on assigning probability to regions of x-y plainDownload
55Darts example and marginal pdfsDownload
56Independence to two continuous random variablesDownload
57Examples: two independent continuous random variablesDownload
58Prob X grater then Y : Computation of Probability of a Non-rectangular RegionDownload
59Conditional pdfs for continuous r.v.Download
60Conditional pdfs (Continued)Download
61Transformations of random variablesDownload
62CDF methodDownload
63pdf methodDownload
64ExamplesDownload
65One-to-one transformationsDownload
66Expected Value or Mean of a Random VariableDownload
67Properties of ExpectationDownload
68Examples: SymmetryDownload
69Expectation Computations for Important DistributionsDownload
70VarianceDownload
71Examples of VarianceDownload
72Correlation and CovarianceDownload
73Expectations with two random variablesDownload
74Examples: Continuous DistributionsDownload
75Examples: Discrete DistributionsDownload
76Covariance, continuedDownload
77Inequalities or Bounds involving E(.)Download
78Cauchy-Schwartz InequalityDownload
79Conditional ExpectationsDownload
80Eg of Conditional Expectations with Uniform r.v (in detail)Download
81Eg of Conditional Expectations with Poisson r.v (in detail)Download
82Weak Law of Large NumbersDownload
83Central Limit Theorem (with Examples)Download

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
21Example: Random walkPDF unavailable
22Definition and Discrete SettingPDF unavailable
23Random Variables and EventsPDF unavailable
24Examples: Discrete random variablesPDF unavailable
25Important distributionsPDF unavailable
26Examples: Discrete PMFsPDF unavailable
27Real-life modeling examplePDF unavailable
28More DistributionsPDF unavailable
29Conditional PMFs, Conditioning on an event, Indicator random variablesPDF unavailable
30Example: Conditioning on an event, Indicator random variablesPDF unavailable
31Multiple random variables and joint distributionPDF unavailable
32Example: Two random variablesPDF unavailable
33Marginal PMFPDF unavailable
34Trinomial joint PMFPDF unavailable
35Events and Conditioning with Two Random VariablesPDF unavailable
36Example: Compute Marginal and Conditional PMFs, Probability of EventsPDF unavailable
37Independent random variablesPDF unavailable
38More on independencePDF unavailable
39Example: IID RepetitionsPDF unavailable
40Addition of Random VariablesPDF unavailable
41Sum, Difference and Max of Two Random VariablesPDF unavailable
42More Computations: Min of Two Random VariablesPDF unavailable
43Example: X+Y, X-Y, min(X,Y), max(X,Y)PDF unavailable
44Real line as sample spacePDF unavailable
45Probability density function (pdf)PDF unavailable
46Cumulative distribution function (CDF)PDF unavailable
47Continuous random variablesPDF unavailable
48pdf and CDF of Continuous Random VariablesPDF unavailable
49Spinning pointer examplePDF unavailable
50Important continuous distributionsPDF unavailable
51More continuous distributionsPDF unavailable
52Two-dimensional real sample spacePDF unavailable
53Joint pdf and joint CDFPDF unavailable
54More on assigning probability to regions of x-y plainPDF unavailable
55Darts example and marginal pdfsPDF unavailable
56Independence to two continuous random variablesPDF unavailable
57Examples: two independent continuous random variablesPDF unavailable
58Prob X grater then Y : Computation of Probability of a Non-rectangular RegionPDF unavailable
59Conditional pdfs for continuous r.v.PDF unavailable
60Conditional pdfs (Continued)PDF unavailable
61Transformations of random variablesPDF unavailable
62CDF methodPDF unavailable
63pdf methodPDF unavailable
64ExamplesPDF unavailable
65One-to-one transformationsPDF unavailable
66Expected Value or Mean of a Random VariablePDF unavailable
67Properties of ExpectationPDF unavailable
68Examples: SymmetryPDF unavailable
69Expectation Computations for Important DistributionsPDF unavailable
70VariancePDF unavailable
71Examples of VariancePDF unavailable
72Correlation and CovariancePDF unavailable
73Expectations with two random variablesPDF unavailable
74Examples: Continuous DistributionsPDF unavailable
75Examples: Discrete DistributionsPDF unavailable
76Covariance, continuedPDF unavailable
77Inequalities or Bounds involving E(.)PDF unavailable
78Cauchy-Schwartz InequalityPDF unavailable
79Conditional ExpectationsPDF unavailable
80Eg of Conditional Expectations with Uniform r.v (in detail)PDF unavailable
81Eg of Conditional Expectations with Poisson r.v (in detail)PDF unavailable
82Weak Law of Large NumbersPDF unavailable
83Central Limit Theorem (with Examples)PDF unavailable


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