Question

describe how you constructed the curve and discuss its features. the normal distribution curve is centered at and has 2 points of inflection, representing $mu - sigma$, and representing $mu+sigma$. (type integers or decimals.)

Explanation:

Step1: Recall normal - distribution properties

The normal - distribution curve is symmetric about the mean $\mu$. So it is centered at $\mu$.

Step2: Recall inflection - point properties

The points of inflection of a normal - distribution curve are at $x=\mu-\sigma$ and $x = \mu+\sigma$.

Answer:

The normal distribution curve is centered at $\mu$ and has 2 points of inflection, $\mu - \sigma$ representing $\mu-\sigma$, and $\mu+\sigma$ representing $\mu+\sigma$.