Answer: The z score that corresponds to the value x=22 is 0.4 .
Step-by-step explanation:
Given : A normal distribution has a mean 20 and standard deviation 5.
i.e. [tex]\mu=20[/tex]
[tex]\sigma=5[/tex]
Let x be the random selected variable.
We know that to find the z-score corresponds to the value x is given by :-
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
For x = 22, we have
[tex]z=\dfrac{22-20}{5}=\dfrac{2}{5}\\\\\Rightarrow\ z=0.4[/tex]
Hence, the z score that corresponds to the value x=22 is 0.4
