Find the area under the standard normal curve from 0 to the indicated value of $z$. \[ 0.85 \] A. 0.3023 B. 0.8023 C. 0.1977 D. 0.6977

Step 1 ：The area under the standard normal curve from 0 to a given value of $z$ is given by the cumulative distribution function (CDF) of the standard normal distribution at $z$. The CDF of the standard normal distribution at $z$ is given by \(\Phi(z) = \frac{1}{2}[1 + \text{erf}(z/\sqrt{2})]\), where \(\text{erf}\) is the error function.

Step 2 ：Substitute $z$ = 0.85 into the formula, we get \(\Phi(0.85) = \frac{1}{2}[1 + \text{erf}(0.85/\sqrt{2})]\).

Step 3 ：Calculate the above expression to get the area under the curve from 0 to 0.85, which is approximately 0.8023374568773076.

Step 4 ：Final Answer: The area under the standard normal curve from 0 to 0.85 is approximately \(\boxed{0.8023}\).