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Subject Details

Dept : IT

Sem : 4

Regul : R2019

Faculty : Palanivel K

phone : NIL

E-mail : palanivl.k.math@snsct.org

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Lecture Notes

UNIT 1:

Axioms of probability

Conditional probability

Total probability

Baye’s theorem

Random variable – Probability mass function

Probability density function

Moments

Moment generating functions and their properties.

UNIT 2:

Binomial distribution

Poisson distribution

Exponential distribution

Normal distribution

UNIT 3:

Joint distributions

Marginal distributions

Conditional distributions

Covariance

Correlation

linear regression

UNIT 4:

Sampling distributions-Tests for single mean (large samples)

Sampling distributions-Tests for Difference of two means(large samples)

Sampling distributions-Tests for single Proportion(large samples)

Sampling distributions-Tests for Difference of two Proportion(large samples)

Sampling distributions-Tests for single mean and Difference of two means(small samples)

Tests for single variance and equality of variance

Chi square test for goodness of fit-Independence of attributes.

Sampling distributions-Tests for single mean and Difference of two means(small samples)

Chi square test for goodness of fit-Independence of attributes.

UNIT 5:

Complete randomized design

Randomized block design

Latin square design

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