ENSH 304 Notes: PYQ-First Chapter Framework

Project is organized around chapter pages, topic notes, formula recaps, solved PYQ variations, difficulty tags, and chapter metadata.

Source Coverage

Chapter	Title	Hours	Marks	Status
Chapter 1	Descriptive Statistics and Basic Probability	6	10	Detailed notes ready
Chapter 2	Probability Distributions and Sampling Distribution	14	15	Detailed notes ready
Chapter 3	Statistical Inference	14	20	Detailed notes ready
Chapter 4	Correlation and Regression	6	10	Detailed notes ready
Chapter 5	Statistical Quality Control	5	5	Detailed notes ready

From	Feeds Into	Dependency	Use Case
Chapter 1	Chapter 2	Basic probability laws, Bayes, summary statistics	Builds distribution and sampling work
Chapter 2	Chapter 3	Sampling distribution, CLT, standard error	Confidence intervals and hypothesis tests
Chapter 3	Chapter 4	Inference logic, significance, interpretation discipline	Regression significance and model reading
Chapter 3	Chapter 5	Decision thresholds, tail interpretation, control thinking	Control-chart action rules

Measurement or count? If measurement, think mean/SD, confidence interval, or control chart; if count, think probability model or chi-square.
One sample or two? If one, use single-sample summary or test; if two, check whether the groups are independent or paired.
More than two means? Use ANOVA, not repeated t-tests.
Need a source after observing evidence? Use Bayes logic.

Fundamental Concepts
Core Methods and Formulas
Standard Models / Topics
Applied Problem Solving
System-Level Understanding
Quick Reference
Exam Tips
Common Pitfalls
Per-topic notes with use / not-use conditions
Per-topic formula recap blocks
At least two solved PYQs per major topic, with extra variations where needed
Difficulty tags on problems: [Core], [Advanced], [PYQ-Trap]
Marks breakdown, Difficulty type, Version / Last Updated, and Not in syllabus in chapter headers
Seen-Before Check in exam tips for quick PYQ pattern matching
Global dependency map and timed practice targets for revision

Math Rendering Convention (Ready)

Use inline math as $...$ and block math as $$...$$. Label distribution formulas clearly with the random variable and distribution name.

Inline example: $x_i^2 + y_j^3$

Integration

\int_0^1 x^2 \, dx = \frac{1}{3}

Power

(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k

Log With Subscript

\log_{10}(1000) = 3, \quad \log_2(8) = 3

Fractions

\frac{a+b}{c+d}, \quad \frac{d}{dx}\left(\frac{1}{x}\right) = -\frac{1}{x^2}