Central Limit Theorem (CLT) | Statistical Inference | VTU Exam Problem | Part 6

🎓 In this video, we solve a Central Limit Theorem (CLT) problem from VTU Mathematics-III (BCS301) – Module 4: Statistical Inference 2, based on the sampling distribution of the mean. Question: An electrical firm manufactures light bulbs whose lifetime is approximately normally distributed with a mean of 800 hours and a standard deviation of 40 hours. Find the probability that a random sample of 16 bulbs will have an average life of less than 775 hours. You’ll learn: ✅ Concept of Sampling Distribution of the Mean ✅ Application of Central Limit Theorem (CLT) for small samples ✅ Step-by-step calculation of Z-score and corresponding probability ✅ Detailed VTU exam-style explanation 🎯 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: Normal Distribution and CLT Probability of Sample Mean Less Than a Given Value Use of Z-table for Probability Calculation 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗    / @officialmathematicstutor   #CentralLimitTheorem #SamplingDistribution #NormalDistribution #VTUMathematics3 #BCS301 #StatisticalInference2 #ConfidenceLimits #VTU #EngineeringMathematics3 #VTUCS #VTU2023Syllabus #ProbabilityAndStatistics #VTUExamPreparation #Maths3VTU #VTUImportantQuestions