# Probability And Statistics

Course Code:RT22051

Author:uLektz

University:

Regulation:2013

Categories:Engineering Mathematics

Format : ePUB3 (DRM Protected)

Type :eBook

Rs.189 Rs.28 Rs.85% off

Description :Probability And Statistics of RT22051 covers the latest syllabus prescribed by JNTU Kakinada for regulation 2013. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT I RANDOM VARIABLES AND DISTRIBUTIONS

1.1 Introduction- Random variables-Distribution function-Discrete distributions ( Review of Binomial and Poisson distributions)

1.2 Continuous distributions: Normal, Normal approximation to Binomial distribution, Gamma and Weibull distributions

###### UNIT II Moments and Generating functions

2.1 Introduction-Mathematical expectation and properties

2.2 Moment generating function-Moments of standard distributions ( Binomial, Poisson and Normal distributions) – Properties

###### UNIT III SAMPLING THEORY

3.1 Introduction - Population and samples

3.2 Sampling distribution of mean for large and small samples (with known and unknown variance)

3.3 Proportion sums and differences of means-Sampling distribution of variance -Point and interval estimators for means and proportions

###### UNIT IV TESTS OF HYPOTHESIS

4.1 Introduction - Type I and Type II errors

4.2 Maximum error - One tail, two-tail tests

4.3 Tests concerning one mean and proportion

4.4 Two means- Proportions and their differences using Z-test, Student’s t-test - F-test and Chi -square test

4.5 ANOVA for one-way and two-way classified data

###### UNIT V CURVE FITTING AND CORRELATION

5.1 Introduction - Fitting a straight line

5.2 Second degree curve-exponential curve-power curve by method of least squares

5.3 Simple Correlation and Regression

5.4 Rank correlation - Multiple regression

###### UNIT VI STATISTICAL QUALITY CONTROL METHODS

6.1 Introduction - Methods for preparing control charts

6.2 Problems using x-bar, p, R charts and attribute charts