In this article, we will discuss step by step guide on how to find the area under the standard normal curve to the right of the z score.
The area under the Standard Normal Curve to the right of Z
Step to find the area under the standard normal curve to the right of z
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Step 1: Find the area to the left of z.
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Step 2: As the total area under the bell curve is 1.
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Step 3: Subtract the area to the left from 1.
area to the right of z = 1 – area to the left of z.
- Step 4: Multiply it by 100 to calculate the percentage of area.
Let’s understand to find the area under the standard normal curve to the right of z using an example.
How do you find the area to the right of z = 0.52
To find the area to the right of given z follow the below steps:
Step 1: Find the area to the left of Z
To find the area to the left of the given z follow the below steps:
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Choose a positive z-table as the given z-score (i.e 0.52) is positive.
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Check the area value for the given z in the z-table.
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Look at the first two digits(0.5) of the z-score on the left side column (y-axis) of the z-table and then the remaining number (0.02) on the x-axis on the topmost row.
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The intersection of the two is 0.6985 (highlighted in red).
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area to the left = 0.6985
Step 2: The total area under the bell curve is 1
Step 3: Subtract the area to the left from 1
area to the right of z = 1 – area to the left of z.
The area under the standard normal curve to the right of z = 1 – 0.6985 = 0.3015
Step 4: Multiply it by 100 to calculate the percentage of area.
area to the right of z = 0.3015*100 = 30.15%
Result: Result: The area to the right of z is 30.15% of the normal standard curve.
Conclusion
I hope the above article to find the area under the standard normal curve to the right of z using step by step guide is helpful to you.
