JNTUK R20 CSE Students: Access Unit-wise R20 2nd Year 2nd Semester Probability and Statistics Material/Notes PDFs Below.

## Download JNTUK R20 2nd Year 2nd Semester Probability and Statistics Material PDF

**OBJECTIVES:**

- Introduce students to the basics of probability and statistical methods
- Provide an understanding of how probability concepts and statistical methods are applied in various engineering fields

**Unit 1: **

**Descriptive Statistics and Data Science Methods**

- Overview of Data Science
- Population vs Sample
- Data Collection (Primary and Secondary)
- Types of Variables (Dependent and Independent, Categorical and Continuous)
- Data Visualization
- Measures of Central Tendency
- Measures of Variability (Spread or Variance)
- Skewness and Kurtosis.

**Download UNIT-1 Material PDF**Â |Â **Reference-2**

**Unit 2: **

**Correlation and Curve Fitting**

- Correlation
- Correlation Coefficient
- Rank Correlation
- Regression Coefficients and Properties
- Regression Lines
- Method of Least Squares
- Fitting Straight Line, Parabola, Exponential and Power Curves

**Download UNIT-2 Material PDF**Â |Â **Reference-2**

**Unit 3: **

**Probability and Distributions**

- Probability
- Conditional Probability and Baye’s Theorem
- Random Variables (Discrete and Continuous)
- Distribution Function
- Mathematical Expectation and Variance
- Binomial, Poisson, Uniform, and Normal Distributions.

**Download UNIT-3 Material PDF**Â |Â **Reference-2**

**Unit 4: **

**Sampling Theory**

- Introduction to Population and Samples
- Sampling Distribution of Means and Variance (Definition Only)
- Central Limit Theorem (without proof)
- Introduction to t, chi-squared and F Distributions
- Point and Interval Estimations
- Maximum Error of Estimate.

**Download UNIT-4 Material PDF**Â **|Â Reference-2Â |Â Ref-3**

**Unit 5: **

**Tests of Hypothesis**

- Introduction to Hypothesis
- Null and Alternative Hypothesis
- Type I and Type II Errors
- Level of Significance
- One-Tail and Two-Tail Tests
- Tests for One Mean and Two Means (Large and Small Samples)
- Tests on Proportions.

**Download UNIT-5 Material PDF**Â **|Â Reference-2Â |Â ****Ref-3**

**Textbooks:**

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

**Reference Books for JNTUK R20 2-2 Probability and Statistics:**

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

**Upon completion of this course, students will be able to:**

- Categorize the principles of data science and comprehend their significance (Level 4 or 2)
- Analyze the relationship between various attributes through the use of correlation and regression techniques (Level 4)
- Utilize probability concepts and their practical applications (Level 3)
- Implement discrete and continuous probability distributions (Level 3)
- Develop classical hypothesis tests (Level 6)
- Interpret statistical inference methods based on both small and large sample tests (Level 4)

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