Calumworthy5901 Calumworthy5901
  • 13-07-2020
  • Mathematics
contestada

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)

Respuesta :

joaobezerra joaobezerra
  • 16-07-2020

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.

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