Question 1194773
<font color=black size=3>
mu = 89 = population mean
sigma = 3 = population standard deviation


For the raw score x = 86, it converts to the following z score
z = (x - mu)/sigma
z = (86 - 89)/3
z = (-3)/3
z = -1
This raw score is exactly one standard deviation below the mean.


Now use a table like this one here
<a href = "https://www.ztable.net/">https://www.ztable.net/</a>
Highlight the row that starts with -1 at the very left
Highlight the column that has 0 at the top
This row and column intersect at the value 0.15866
<img src = "https://i.imgur.com/OlptqeU.png">


This tells the reader
P(Z < -1) = 0.15866 approximately


So,
P(Z > -1) = 1 - P(Z > -1)
P(Z > -1) = 1 - 0.15866
P(Z > -1) = 0.84134
which is also approximate


This means
P(x > 86) = 0.84134 approximately


If you wanted, you can use a calculator to get better precision.


Answer: About 84.134%
</font>