Normal Distribution Problem Solved | Find Probabilities using Z-Score (Mean = 30, SD = 5)

Описание: 📊 *Normal Distribution Problem Solved Step-by-Step*

In this statistics video, we solve a key problem on the *normal distribution* using *Z-scores* and the **standard normal table**:

Let \( X \sim N(30, 5^2) \).
Find the following:
1️⃣ \( P(26 \leq X \leq 40) \)
2️⃣ \( P(X \geq 45) \)
3️⃣ \( P(|X - 30| \geq 5) \)

You will learn:
How to convert X to Z using \( Z = \frac{X - \mu}{\sigma} \)
Use of standard normal distribution tables
Interpretation of probability areas under the normal curve

📚 This video is perfect for:
**IIT JAM**, **CSIR NET**, **GATE**, BSc/MSc Statistics students
Learners revising probability distributions and Z-scores

🧠 Referenced Books:
Sheldon Ross: A First Course in Probability
Hogg & Craig: Introduction to Mathematical Statistics

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💬 Drop your questions in the comments – let’s solve together!

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