Questions: Determine the total area under the normal curve to the right of z = 2. (Round to four decimal places as needed.)

We need to determine the total area under the normal curve to the right of \( z = 2 \). This can be expressed mathematically as \( P(Z > 2) \).

The probability \( P(Z > 2) \) can be calculated using the cumulative distribution function \( \Phi(z) \): \[ P(Z > 2) = 1 - \Phi(2) \] However, since we are interested in the area to the right, we can also express it as: \[ P(Z > 2) = \Phi(\infty) - \Phi(2) \]

From the output, we have:

• \( \Phi(\infty) = 1 \)
• \( \Phi(2) \approx 0.9772 \)

Thus, we can compute: \[ P(Z > 2) = 1 - 0.9772 = 0.0228 \]

The total area under the normal curve to the right of \( z = 2 \) is: \[ \boxed{0.0228} \]