## How to Use the Z-table to Compute Probabilities of Non-Standard Normal Distributions

## Problem 758

Let $X\sim \mathcal{N}(\mu, \sigma)$ be a normal random variable with parameter $\mu=6$ and $\sigma^2=4$. Find the following probabilities using the Z-table below.

**(a)** Find $P(X \lt 7)$.

**(b)** Find $P(X \lt 3)$.

**(c)** Find $P(4.5 \lt X \lt 8.5)$.