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If the value of x for normal distribution is 35, the mean of normal distribution is 65 and the standard deviation is 25, then calculate the standardized random variable, and P(X < 35).

Respuesta :

okpalawalter8

Answer:

[tex]Z=-1.2[/tex]

Step-by-step explanation:

From the question we are told that:

Normal distribution [tex]x=35[/tex]

Mean of normal distribution [tex]\=x=65[/tex]

Standard normal distribution deviation [tex]\sigma= 25[/tex]

Generally the equation for standardized value is mathematically given by

 [tex]Z=\frac{x-\=x}{\sigma}[/tex]

 [tex]Z=\frac{35-65}{25}[/tex]

 [tex]Z=\frac{35-65}{25}[/tex]

 [tex]Z=-1.2[/tex]

Therefore the standardized value of x is

 [tex]Z=-1.2[/tex]

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