Answer:
P(z > 0.19) ≈ 0.4247
Explanation:
You want P(z > 0.19), given the table of the standard normal distribution.
Table
When the table is formatted to be readable, as in the first attachment, we find the table value corresponding to Z = 0.19 is 0.5753. This represents the area under the standard normal curve that is to the left of Z = 0.19.
To find the area to the right, we must subtract this value from 1:
P(z > 0.19) = 1 -P(z < 0.19)
P(z > 0.19) = 1 - 0.5753 = 0.4247
The area under the standard normal curve right of z = 0.19 is about 0.4247.
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Additional comment
You can also find the area using any number of probability calculators or spreadsheets. The second attachment shows one of them.
The table column headings are the first decimal digit of the z-score. The table row headings are the second decimal digit of the z-score. This means the score for z = 0.19 is found in the column labeled 0.10 and the row labeled 0.09.
The values in the table are those of the cumulative distribution—the area to the left of the z-score.
Before calculators, the only way to find the value of the cumulative distribution was to make use of tables like this one.
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