Central Limit Theorem (CLT) | Statistical Inference | VTU Exam Problem | Part 4

🎓 In this video, we solve an important Central Limit Theorem (CLT) problem from VTU Mathematics-III (BCS301) – Module 4: Statistical Inference 2. Question: A random sample of size n = 64 is taken from an infinite population having mean μ = 112 and variance σ² = 144. Using the Central Limit Theorem, find the probability that the sample mean (x̄) is greater than 114.5. You’ll learn: ✅ Concept of Sampling Distribution of the Mean ✅ Step-by-step application of the Central Limit Theorem (CLT) ✅ Calculation of Probability using Z-scores and the Standard Normal Table ✅ VTU exam-style explanation for better understanding 🎯 VTU Focus: Subject Code: BCS301 – Mathematics-III Module 4: Statistical Inference 2 Topics: Sampling Variables, Central Limit Theorem, Confidence Limits Applicable for CS & Engineering (2023–24 onwards) 📚 Concepts Covered: Sampling Distribution of Mean Application of CLT for Large Samples Probability Greater Than a Given Value 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗    / @officialmathematicstutor   #CentralLimitTheorem #SamplingDistribution #VTUMathematics3 #BCS301 #StatisticalInference2 #ConfidenceLimits #VTU #EngineeringMathematics3 #VTUCS #VTU2023Syllabus #ProbabilityAndStatistics #VTUExamPreparation #Maths3VTU #VTUImportantQuestions