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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex]
The x-values of the inflection points of the curve are [tex]x = \mu - \sigma[/tex] and [tex]x = \mu + \sigma[/tex]
x ~ N(0, 52)
This means that [tex]\mu = 0, \sigma = 52[/tex]
So
[tex]x = 0 - 52 = -52[/tex]
[tex]x = 0 + 52 = 52[/tex]
The x-values of the inflection points of the curve are x = -52 and x = 52.