Question

select the most appropriate graph. if x is a normal random variable with a mean of 20 and standard deviation of 2, which of the following could be the graph of the distribution of x?

Explanation:

Step1: Recall normal - distribution properties

A normal distribution with mean $\mu = 20$ and standard deviation $\sigma=2$ is symmetric about the mean $\mu = 20$. The peak of the normal - distribution curve occurs at the mean.

Step2: Analyze the graphs

We need to find a graph that is symmetric about $x = 20$.

Answer:

We cannot provide the answer without seeing the actual details of the graphs (A, B, C, D). But the correct graph should be symmetric about the vertical line $x = 20$. If we assume we can visually inspect the graphs for symmetry about $x = 20$, the graph that is symmetric about $x = 20$ is the correct one.