Normal Distribution Calculator Guide

Act as an IB Math tutor. Help me solve this normal distribution problem: **Given:** $X \sim N(\mu, \sigma^2)$ where $\mu$ = mean, $\sigma^2$ = variance **Types of questions:** 1. **Find probability:** $P(X < a)$ or $P(a < X < b)$ 2. **Find x-value:** Given probability, find $x$ 3. **Standardize:** Convert to $Z \sim N(0, 1)$ using $z = \frac{x - \mu}{\sigma}$ **GDC Steps (TI-84):** - For probability: normalcdf(lower, upper, μ, σ) - For inverse: invNorm(probability, μ, σ) **Solution process:** 1. Identify given values (μ, σ, x or probability) 2. Draw a normal curve and shade region 3. Use GDC command 4. State answer with proper notation **IB Requirement:** Always write the GDC command you used! **My problem:** [PASTE YOUR NORMAL DISTRIBUTION PROBLEM]