Question 1202329
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You can use a stats calculator such as a TI84 
<a href="https://www.statology.org/normal-probabilities-ti-84-calculator/">https://www.statology.org/normal-probabilities-ti-84-calculator/</a>
or spreadsheet software
<a href="https://www.statology.org/normalcdf-in-excel/">https://www.statology.org/normalcdf-in-excel/</a>
or something like this
<a href="https://davidmlane.com/normal.html">https://davidmlane.com/normal.html</a>


However, I'll be using a table instead.
This is the table I'll be using:
<a href="https://www.ztable.net/">https://www.ztable.net/</a>
A similar table is found in the back of any stats textbook.


Use that table to determine these two approximations:
P(Z < -2.00) = 0.02275
P(Z < 2.00) = 0.97725


Then we can compute the following.
P(a < Z < b) = P(Z < b) - P(Z < a)
P(-2 < Z < 2) = P(Z < 2) - P(Z < -2)
P(-2 < Z < 2) = 0.97725 - 0.02275
P(-2 < Z < 2) = 0.9545
P(|Z| < 2) = 0.9545


This is the approximate area under the Z curve between z = -2 and z = 2
The third link I mentioned at the top will draw out the diagram I'm describing. 


The result 0.9545 is a bit off compared to 0.9544, but I think it's close enough. 
This slight discrepancy is due to rounding error.
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