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📌 Enroll Now for Quiz 1 Statistics 2 batch: https://www.unknowniitians.com/course... We’re moving into Week 2 of Statistics 02, and this is where things start getting really interesting. Now that you’ve built a solid base with joint distributions and covariance, we’re ready to explore how random variables transform and interact through functions. If ideas like functions of random variables or visualizing multivariate behavior feel a little abstract at first, that’s completely normal—we’ll break them down step by step in this video. In this week, the focus is not just on definitions, but on how distributions change, why transformations matter, and how to think visually about multiple random variables working together. These concepts are extremely important for problem-solving, graded assignments, and for understanding real-world models in data science, machine learning, and statistical analysis. Here’s what we’re covering in Week 2: Functions of Random Variables: Understanding how applying a function changes the behavior of a random variable. Distribution of Transformed Variables: Learning how to find the distribution after transformation. Visualization of Random Variables: Building intuition using graphs and geometric interpretations. Functions of Multiple Random Variables: Extending ideas from one variable to two or more. Joint Transformations: How variables transform together, not in isolation. Practical Interpretation: Connecting transformations to real-world data and modeling scenarios. By the end of this video, you should feel much more confident about how and why random variables change under functions, instead of just applying formulas mechanically. --- For Study Notes: https://www.unknowniitians.com/exam-p... --- For PYQs: https://www.unknowniitians.com/exam-p... --- For Full Syllabus: https://www.unknowniitians.com/exam-p... ---- Join the Live Qualifier Batch: If you want structured mentorship and the full premium experience, join us here: https://www.unknowniitians.com/course... 📌 UNKNOWN IITIANS SOCIALS 🌐 Telegram: https://t.me/bsdatascience_iitm 🌐 WhatsApp Channel: https://whatsapp.com/channel/0029VayH... 🌐 Website: https://www.unknowniitians.com 🌐 Courses: https://www.unknowniitians.com/course... 🌐 LinkedIn: / unknown-iitians 🌐 Medium Blog: / unknowniitians Queries: desk@unknowniitians.com @UnknownIITians