Question 1192124
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Use a calculator like this
<a href = "https://davidmlane.com/normal.html">https://davidmlane.com/normal.html</a>
Click "Value from an area"
Input 0.04 as the area
Input 0 as the mean
Input 1 as the standard deviation
Click the "above" option and hit "recalculate" to have 1.751 result.
This means that 4% of the area is to the right of 1.751


This rounds to 1.75


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Alternative Path


If you want to use a table instead of a calculator, then you can use something like this
<a href = "https://www.ztable.net">https://www.ztable.net</a>
Locate 0.04 in the table or try to get as close as you can to it.
The value 0.04006 is as close as we can get
Trace to the left until you get to -1.7 at the very left
Trace up the column until you arrive at 0.05 at the very top
Refer to the diagram below.
<img width="65%" src = "https://i.imgur.com/TQtsZFf.png">


The headers -1.7 and 0.05 combine to -(1.7+0.05) = -1.75
This shows P(Z < -1.75) = 0.04006 approximately
Due to mirror symmetry, we can say P(Z > 1.75) = 0.04006 approximately


Therefore, we can see that 1.75 is the top 4% cut off point, aka its the value of the 96th percentile since about 96% of the distribution is below z = 1.75


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Answer: 1.75
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