Question

Computer plot on the same axes the normal probability density functions with $\mathit{\mu }\mathbf{=}\mathbf{0}\mathbf{,}\mathit{\sigma }\mathbf{=}\mathbf{1}$and with role="math" localid="1664357194287" $\mathit{\mu }\mathbf{=}\mathbf{3}\mathbf{,}\mathit{\sigma }\mathbf{=}\mathbf{1}$to note that they are identical except for a translation.

Short answer

Both the curves are same but one of them is shifted 3 units.

The graph is as follows:

Step-by-step solution

Given information

The normal probability density function with,$\mu =0,\sigma =1$ and, $\mu =3,\sigma =1$.

Definition of normal probability density function

A probability density function (PDF) is a statistical expression that describes a discrete random variable's probability distribution.

Draw the graph

In the first case$\mu =0,\sigma =1$

In the second case $\mu =3,\sigma =1$$\mu =3,\sigma =1$

Plot the graph

The graph is shifted by 3 units.