brucepoles8831 brucepoles8831
  • 26-02-2021
  • Mathematics
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If X is a normal random variable that has mean mu = 20 and standard deviation sigma = 2, the standardized value of X = 16 is

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MrRoyal
MrRoyal MrRoyal
  • 26-02-2021

Answer:

The standardized value is -2

Step-by-step explanation:

Given

[tex]mu = 20[/tex] -- mean

[tex]\sigma = 2[/tex] --- standard deviation

Required

Determine the standardized value of X = 16

The standardized value (S) is calculated using:

[tex]S = \frac{X - mu}{\sigma}[/tex]

This gives:

[tex]S = \frac{16 - 20}{2}[/tex]

[tex]S = \frac{- 4}{2}[/tex]

[tex]S = -2[/tex]

The standardized value is -2

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