Find the area under the standard normal distribution curve to the left of $z=3$. needed.
The area to the left of $z=3$ is

Answer

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Answer

$\boxed{\text{The area under the standard normal distribution curve to the left of } z=3 \text{ is approximately } 0.9987}$

Steps

Step 1 ：Find the area under the standard normal distribution curve to the left of $z=3$.

Step 2 ：Calculate the cumulative probability for $z=3$ using the cumulative distribution function (CDF) of the standard normal distribution.

Step 3 ：$z = 3$

Step 4 ：$\text{area}_\text{left of z} = 0.9986501019683699$

Step 5 ：$\boxed{\text{The area under the standard normal distribution curve to the left of } z=3 \text{ is approximately } 0.9987}$