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# Probability and Statistics Notes (P&S)

## PROBABILITY AND STATISTICS Notes

According to R-13 PROBABILITY AND STATISTICS Notes

UNIT-I

Probability:

Sample space and events Probability The axioms of probability – Some Elementary theorems – Conditional probability Baye’s theorem. Random variables discrete and continuous.

UNIT-II :

distributions:

Binomial and poison distributions & Normal distribution related properties. Sampling distributions Distribution – sampling distributions of means ( σ known and unknown)

UNIT-III :

Test of Hypothesis I :

Tests of hypothesis point estimations interval estimations Bayesian estimation. Large samples, null hypothesis- alternate hypothesis type I, & type II errors- critical region confidential interval for mean testing of single variance. Difference between the mean.

UNIT-IV

Test of Hypothesis II:

confidential interval for the proportions. Tests of hypothesis for the proportions single and difference between the proportions.

UNIT-V

Small samples:

Confidence interval for the t-distribution- tests of hypothesis t distributions, F-distributions,(Χ 2) distribution. Test of hypothesis-;

UNIT-VI

Correlation & regression:

coefficient of correlation- regression coefficient- the lines of regression the rank correlation.

UNIT-VII

Queuing Theory: Arrival theorem- Pure Birth and Death Process M/M/1 Model

UNIT-VIII

Stochastic Processes:

Introduction to stochastic processes- markov process classification of states- examples of markov chains, stochastic matrix , limiting probabilities.

Text Books:

1. Probability & Statistics, D. K. Murugeson & P. Guru Swamy, Anuradha Publishers
2. Probability & Statistics for engineers by g.s.s.bhima rao, scitech publications.

References:

1. Probability & Statistics, T. K. V. Iyengar, B. Krishna Gandhi and Others S. Chand & Company.
2. Probability & Statistics, by William mendenhall & others cengage pub.
3. Higher engineering mathematics by b s grewal m khanna pub.
4. Higher engineering mathematics by jain and iyengar , narasa publications
5. A first course in probability & statistics by BLS Prakasa rao. World scientific.
6. Probability & Statistics for Engineers, Miller and John E. Freund, Prentice Hall of India

Note :- These notes are according to the r09 Syllabus book of JNTUH.In R13 ,8-units of R09 syllabus are combined into 5-units in r13 syllabus.Click here to check all the JNTU Syllabus books