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

Описание: 🎓 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

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