Question

Sketch the normal distribution with

$$\begin{gathered} \left(a\right)\mu =-2;\sigma =2 \\ \left(b\right)\mu =-2;\sigma =\frac{1}{2} \\ \left(c\right)\mu =0;\sigma =2 \end{gathered}$$

Short answer

(a) The normal distribution with $\mu =-2;\sigma =2$is:

(b) The normal distribution with $\mu =-2;\sigma =\frac{1}{2}$is:

(c) The normal distribution with $\mu =0;\sigma =2$is:

Step-by-step solution

Part (a) Step 1. Given Information.

$\mu =-2;\sigma =2$

Part (a) Step 2. Sketch the normal distribution. 

Sketch the normal distribution.

Part (b) Step 1. Sketch the normal distribution. 

The normal distribution with $\mu =-2;\sigma =\frac{1}{2}$is:

Part (c) Step 1. Sketch the normal distribution. 

The normal distribution with $\mu =0;\sigma =2$is:

Part (c) Step 2. Sketch all three distributions. 

Sketch all the distribution in a single graph: