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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY

HYDERABAD

II Year B.Tech. IT I-SemT P C

4+1*04

PROBABILITY AND STATISTICS

UNIT-I

Probability:  Sample space and events – Probability – The axioms of probability – Some

Elementary theorems - Conditional probability – Baye’s theorem.

UNIT-II

Random variables – Discrete and continuous – Distribution – Distribution function. Distribution

UNIT-III

Binomial and poison distributions Normal distribution – related properties.

UNIT-IV

Sampling distribution: Populations and samples - Sampling distributions of mean (known and unknown) proportions, sums and differences.

UNIT-V

Estimation: Point estimation – interval estimation - Bayesian estimation.

UNIT-VI

Test of Hypothesis – Means– Hypothesis concerning one and two means– Type I and Type II errors. One tail, two-tail tests.

UNIT-VII

Tests of significance – Student’s t-test, F-test, test. Estimation of proportions.

UNIT-VIII

Queuing Theory: Pure Birth and Death Process M/M/1 Model and Simple Problems.

Text Books:

1.

Probability & Statistics, T. K. V. Iyengar, B. Krishna Gandhi and Others, S. Chand & Company.

2.

A text book of Probability & Statistics, Shahnaz Bathul, V. G. S. Book Links.

References:

1.

Probability & Statistics, Arnold O. Allen, Academic Press.

2.

Probability & Statistics for Engineers, Miller and John E. Freund, Prentice Hall of India.

3.

Probability & Statistics, Mendan Hall, Beaver Thomson Publishers.

4.

Probability & Statistics, D. K. Murugeson & P. Guru Swamy, Anuradha Publishers.

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