Find the area under the standard normal curve that lies between the following: Z = -1.22 and Z = 0.
Question
Find the area under the standard normal curve that lies between the following:
Z = -1.22
and Z = 0.
Solution
To find the area under the standard normal curve between Z = -1.22 and Z = 0, you need to look up the Z-scores in the standard normal distribution table or use a calculator with a normal distribution function.
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Look up the Z-score for -1.22 in the standard normal distribution table. The value you get is the area to the left of Z = -1.22. This value is approximately 0.1112.
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Look up the Z-score for 0 in the standard normal distribution table. The area to the left of Z = 0 is 0.5, because 0 is the mean of the standard normal distribution.
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Subtract the area for Z = -1.22 from the area for Z = 0 to find the area between these two Z-scores.
So, 0.5 - 0.1112 = 0.3888.
Therefore, the area under the standard normal curve that lies between Z = -1.22 and Z = 0 is approximately 0.3888.
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