BCA 404 एक Analytical Subject है जो Data Analysis, Probability, Statistical Methods और Hypothesis Testing पर आधारित है। यह Subject Data Science, Research, Machine Learning और Competitive Exams के लिए अत्यंत महत्वपूर्ण है।
🔹 UNIT–I: Combinatorics
यह भाग Counting Techniques और Mathematical Foundations सिखाता है।
- Permutation and Combination
- Repetition and Constrained Repetition
- Binomial Coefficients
- Binomial Theorem
👉 P & C से Numerical Questions अधिक आते हैं।
👉 Binomial Theorem Expansion Exam में महत्वपूर्ण है।
🔹 UNIT–II: Descriptive Statistics
यह भाग Data को Summarize और Analyze करना सिखाता है।
Frequency Distribution
- Frequency Tables
- Histograms
- Frequency Polygons
Measures of Central Tendency
- Mean
- Median
- Mode
Measures of Dispersion
- Mean Deviation
- Standard Deviation
- Moments
- Skewness
- Kurtosis
👉 Standard Deviation और Skewness से Numerical Problems आते हैं।
🔹 UNIT–III: Probability and Theoretical Distributions
Elementary Probability
- Definition of Probability
- Conditional Probability
- Probability Distribution
- Mathematical Expectation
Theoretical Distributions
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Relationship between Binomial, Poisson & Normal
👉 Conditional Probability और Normal Distribution से Long Numerical Questions आते हैं।
🔹 UNIT–IV: Correlation, Regression & Hypothesis Testing
Correlation and Regression
- Linear Correlation
- Measure of Correlation
- Least Square Regression Lines
Curve Fitting
- Method of Least Squares
- Least Squares Line
- Least Squares Parabola
Chi-Square Test
- Definition of Chi-Square
- Significance Test
- Contingency Test
- Coefficient of Contingency
👉 Regression Line Equation और Chi-Square Test बहुत महत्वपूर्ण हैं।
🔹 UNIT–V: Sampling Theory & Monte Carlo Method
- Basics of Sampling Theory
- Sample Mean & Variance
- Student’s t-Test
- Z-Test
- Degrees of Freedom
- Hypothesis Testing
- Small vs Large Sample
- Introduction to Monte Carlo Method
👉 t-Test और Z-Test से Practical Exam Questions आते हैं।
👉 Hypothesis Testing Conceptually बहुत महत्वपूर्ण है।
🎯 BCA 404 Subject का उद्देश्य
- Data Analysis की समझ विकसित करना
- Statistical Measures को Practical Problems में लागू करना
- Probability Theory समझना
- Research & Data-Based Decision Making सीखना
- Competitive Exams के लिए Analytical Skills मजबूत करना