Problem

Find the area under the standard normal distribution curve to the right of $z=1$. needed.
The area to the right of $z=1$ is .341 .

Answer

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Answer

\(\boxed{0.159}\) is the area under the standard normal distribution curve to the right of \(z=1\)

Steps

Step 1 :Find the area under the standard normal distribution curve to the right of \(z=1\).

Step 2 :Calculate the cumulative distribution function (CDF) to the left of \(z=1\): \(area_{left} = 0.8413447460685429\)

Step 3 :Subtract the area to the left from 1 to find the area to the right: \(area_{right} = 1 - area_{left} = 1 - 0.8413447460685429 = 0.15865525393145707\)

Step 4 :\(\boxed{0.159}\) is the area under the standard normal distribution curve to the right of \(z=1\)

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