## PROBABILITY AND STATISTICS Notes

According to R-13 PROBABILITY AND STATISTICS Notes

**Link – Complete Notes**

**Link – Unit 1**

**Link – Unit 2**

**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:**

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

**References:**

- Probability & Statistics, T. K. V. Iyengar, B. Krishna Gandhi and Others S. Chand & Company.
- Probability & Statistics, by William mendenhall & others cengage pub.
- Higher engineering mathematics by b s grewal m khanna pub.
- Higher engineering mathematics by jain and iyengar , narasa publications
- A first course in probability & statistics by BLS Prakasa rao. World scientific.
- 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 **