joycemukuna27 joycemukuna27
  • 20-07-2022
  • Mathematics
contestada

Suppose that X-N (2,6) is a normal distribution with mean 2 and standard deviation 6. What value of x has a z-score of three?

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MrRoyal
MrRoyal MrRoyal
  • 21-07-2022

The value of x has a z-score of three is 20

How to determine the value of x?

The given parameters are:

Mean = 2

Standard deviation = 6

z = 3

The z-score is calculated as:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]3 = \frac{x -2}{6}[/tex]

Multiply through by 6

18 = x - 2

Add 2 to both sides

x = 20

Hence, the value of x has a z-score of three is 20

Read more about z-score at:

https://brainly.com/question/15016913

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