# For a population with a mean of \mu= 100 and a standard deviation of \sigma=20, Find the X values. z = -.50.

For a population with a mean of $\mu =100$ and a standard deviation of $\sigma =20$,
Find the X values.
$z=-.50$.
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Margot Mill
Obtain the value of the random variable X if the Z-score equals –0.50.
The value of the random variable X if the Z-score equals –0.50 is obtained below as follows:
Let X denotes the random variable with the population mean of 100 and standard deviation of 20.
That is, $\mu =100$, $\sigma =20$.
The required value of X is,
$z=\frac{X-\mu }{\sigma }$
$-0.50=\frac{X-100}{20}$
$X-100=-0.50×20=-10$
$X=100-10=90$
The value of the random variable X if the Z-score equals –0.50 is 90.

Jeffrey Jordon

Answer is given below (on video)