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

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

#### 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.

Prabhavathi

#### 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

#### 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.

#### 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.

Prabhavathi

#### 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.

#### 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:

1. Probability and Statistics for Engineers and Scientists” by Sheldon L. Myers, Keying Ye, and Ronald E Walpole (8th Edition, Pearson, 2007).
2. Probability and Statistics for Engineering and the Sciences” by Jay L. Devore (8th Edition, Cengage).
3. Introduction to Probability and Statistics for Engineers and Scientists” by Sheldon M. Ross (4th Edition, Academic Foundation, 2011).
4. 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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