SOLUTION: Can you help me Find the probability using the standard normal distribution. P( - 2.14 < z < 0.95)

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Question 1154524: Can you help me Find the probability using the standard normal distribution.
P( - 2.14 < z < 0.95)

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
P(-2.14 < z < 0.95)

Notice that the shading below starts where z=-2.14 and goes to where z=0.95.
We want to know what decimal or percentage of the curve is shaded below



So by TI-83 or 84 calculator, we press " 2nd " then " vars " then " 2:normalcdf( "

[for newer calculators, lower:-2.14, upper:0.95, μ=0; σ=1; paste, enter]

For all calculators:

normalcdf(-2.14,0.95,0,1)

press ENTER

0.8127665627

With tables:  [There are two kinds of tables in use today]

If your table has negative numbers in the z-column, then
find 0.9 in the z-column and go across to the 0.05 column and read 0.8289
find -2.1 in the z-column and go across to the 0.04 column and read 0.0162
Subtract and get 0.8289-0.0162 and get 0.8127

If your table has only positive numbers in the z-column, then
find 0.9 in the z-column and go across to the 0.05 column and read 0.3289
find 2.1 in the z-column and go across to the 0.04 column and read 0.4838
Add them and get 0.3289+0.4838 and get 0.8127


Notice that the calculator answers round to 0.8128, whereas with
tables you get 0.8127.  That's because the calculator is more accurate
than tables.

Edwin

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