Question

Computer plot on the same axes the normal density functions with $\mathit{\mu }\mathbf{=}\mathbf{0}$$\mathit{\sigma }\mathbf{=}\mathbf{1}$and, 2, and 5. Label each curve with its$\mathit{\sigma }$.

Short answer

The first, second and third curves are symmetric across the vertical axis but have different limits.

The graph is given below

Step-by-step solution

Given information

• The normal probability density function with $\mu =0,\sigma =1$, $\mu =0,\sigma =2$and $\mu =0,\sigma =3$
  

Definition of probability density function

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

Draw the graph of given functions

The graph is given below

The first, second and third curves are symmetric across the vertical axis but have different limits.