**JNTUK R19 2-2 Probability and Statistics Material PDF Download**

Students those who are studying JNTUK R19 CSE Branch, Can Download Unit wise R19 2-2 Probability and Statistics Material/Notes PDFs below.

### JNTUK R19 2-2 Probability and Statistics Material PDF Download

**OBJECTIVES: **

- To familiarize the students with the foundations of probability and statistical methods
- To impart probability concepts and statistical methods in various applications Engineering

**UNIT-1**

Descriptive statistics and methods for data science: Data science – Statistics Introduction – Population vs Sample – Collection of data – primary and secondary data – Type of variable: dependent and independent Categorical and Continuous variables – Data visualization – Measures of Central tendency – Measures of Variability (spread or variance) – Skewness Kurtosis.

**UNIT-2**

**Correlation and Curve fitting:** Correlation – correlation coefficient – rank correlation – regression coefficients and properties – regression lines – Method of least squares – Straight line – parabola – Exponential – Power curves.

**UNIT-3**

**Probability and Distributions:** Probability – Conditional probability and Baye’s theorem – Random variables – Discrete and Continuous random variables – Distribution function – Mathematical Expectation and Variance – Binomial, Poisson, Uniform and Normal distributions.

**UNIT-4**

**Sampling Theory: **Introduction – Population and samples – Sampling distribution of Means and Variance (definition only) – Central limit theorem (without proof) – Introduction to t, 2 and Fdistributions – Point and Interval estimations – Maximum error of estimate.

**Download UNIT-4 Material PDF**

**UNIT-5**

Tests of Hypothesis: Introduction – Hypothesis – Null and Alternative Hypothesis – Type I and Type II errors – Level of significance – One tail and two-tail tests – Tests concerning one mean and two means (Large and Small samples) – Tests on proportions.

**Download UNIT-5 Material PDF**

**TEXT BOOKS: **

- Miller and Freund’s, Probability and Statistics for Engineers,7/e, Pearson, 2008.
- S. C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, 11/e, Sultan Chand & Sons Publications, 2012.

**REFERENCE BOOKS: **

- Shron L. Myers, Keying Ye, Ronald E Walpole, Probability and Statistics Engineers and the Scientists,8th Edition, Pearson 2007.
- Jay l. Devore, Probability and Statistics for Engineering and the Sciences, 8th Edition, Cengage.
- Sheldon M. Ross, Introduction to probability and statistics Engineers and the Scientists, 4th Edition, Academic Foundation, 2011.
- Johannes Ledolter and Robert V. Hogg, Applied statistics for Engineers and Physical Scientists, 3rd Edition, Pearson, 2010.

**OUTCOMES:**

- Classify the concepts of data science and its importance (L4) or (L2)
- Interpret the association of characteristics and through correlation and regression tools (L4)
- Make use of the concepts of probability and their applications (L3)
- Apply discrete and continuous probability distributions (L3)
- Design the components of a classical hypothesis test (L6)
- Infer the statistical inferential methods based on small and large sampling tests (L4)

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