Question

For the following normal distribution, give the x-values of the inflection points of the curve (the points where the curve's concavity changes).
x ~ N(0, 52)

Answer 1

Answer:

The x-values of the inflection points of the curve are x = -52 and x = 52.

Step-by-step explanation:

Suppose we have a normal curve with mean $\mu$ and standard deviation $\sigma$

The x-values of the inflection points of the curve are $x = \mu - \sigma$ and $x = \mu + \sigma$

x ~ N(0, 52)

This means that $\mu = 0, \sigma = 52$

So

$x = 0 - 52 = -52$

$x = 0 + 52 = 52$

The x-values of the inflection points of the curve are x = -52 and x = 52.