Chi-Square Distribution & Chi-Square Test | Example Problem 3 | Engineering Mathematics

🎓 In this video, we fit a Poisson distribution to the given frequency data and perform a Chi-Square Goodness of Fit test — perfect for VTU Mathematics-III (BCS301) – Module 4: Statistical Inference 2. Question: Fit a Poisson distribution for the following data and test the goodness of fit at 5% level. (Given χ²(0.05, 3 d.f.) = 7.815) Values of x: 0, 1, 2, 3, 4 Observed frequencies: 122, 60, 15, 2, 1 (Total = 200) You’ll learn: ✅ How to estimate λ\lambdaλ from data ✅ How to compute expected frequencies for the Poisson model ✅ Step-by-step χ² computation and decision rule (df adjustment when parameter is estimated) ✅ VTU exam-style interpretation of results 🎯 VTU Focus: Subject Code: BCS301 – Mathematics-III Module 4: Statistical Inference 2 Topics: Poisson Distribution, Chi-Square Test, Goodness of Fit, Parameter Estimation Useful for CS & Engineering students (2023–24 syllabus) Chi-Square Distribution & Chi-Square Test | Statistical Inference | Full Concept & Solved Examples: https://www.youtube.com/playlist?list=PLM9RnGtTy9_90Yy40pvcUt8czAnW8l-T4 📘 Playlist Content: 1️⃣ Chi square distribution | Chi square test | Statistical inference | Part 1 🔗 https://youtu.be/j2msfQK9hsc 2️⃣ Chi square distribution | Chi square test | Statistical inference | Part 2 🔗 https://youtu.be/daoLth-Nq-s 3️⃣ Chi square distribution | Chi square test | Statistical inference | Part 3 🔗 https://youtu.be/oSr5qsNtZos 4️⃣ Chi square distribution | Chi square test | Statistical inference | Part 4 🔗 https://youtu.be/kBrCkoX6ErU 5️⃣ Chi square distribution | Chi square test | Statistical inference | Part 5 🔗 https://youtu.be/7FL4YOcsggM 6️⃣ Chi-Square Distribution & Chi-Square Test | Example Problem 1 | Engineering Mathematics 🔗 https://youtu.be/8ZBkUdVqBNY 7️⃣ Chi-Square Distribution & Chi-Square Test | Example Problem 2 | Engineering Mathematics 🔗 https://youtu.be/UXxh1KRGBHU 8️⃣ Chi-Square Distribution & Chi-Square Test | Example Problem 3 | Engineering Mathematics 🔗 https://youtu.be/DPGUQAeQuG8 9️⃣ Chi-Square Distribution & Chi-Square Test | Example Problem 4 | Engineering Mathematics 🔗 https://youtu.be/ShdsIUn3h_U 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join #PoissonDistribution #ChiSquareTest #GoodnessOfFit #StatisticalInference2 #VTUMathematics3 #BCS301 #VTU #HypothesisTesting #ProbabilityAndStatistics #VTUExamPreparation #Maths3VTU