Find the area under the standard normal curve that lies between the following: Z = 1.15 and Z = 2.51.
Question
Find the area under the standard normal curve that lies between the following: Z = 1.15 and Z = 2.51.
Solution
To find the area under the standard normal curve between Z = 1.15 and Z = 2.51, you need to use the Z-table or standard normal distribution table.
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Look up the values in the Z-table for Z = 1.15 and Z = 2.51. The Z-table gives you the area to the left of these Z-scores.
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The value for Z = 1.15 is approximately 0.8749 and for Z = 2.51 is approximately 0.9940.
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Subtract the value for Z = 1.15 from the value for Z = 2.51 to find the area between these two Z-scores.
So, 0.9940 - 0.8749 = 0.1191.
Therefore, the area under the standard normal curve that lies between Z = 1.15 and Z = 2.51 is approximately 0.1191 or 11.91%.
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