Find the area under the standard normal curve to the right of \( z=-2.67 \).

To find the area under the standard normal curve to the right of \( z = -2.67 \), we first look up the z-score in a standard normal distribution table, or use a calculator. The value typically corresponding to \( z = -2.67 \) gives us an area of approximately 0.0038 to the left of that z-score. Since the total area under the curve is 1, the area to the right is calculated as \( 1 - 0.0038 = 0.9962 \). Thus, about 99.62% of the data falls to the right of \( z = -2.67 \). For a more intuitive grasp, remember that the standard normal curve is symmetric about zero. A z-score of -2.67 is significantly far into the left tail, meaning most of the data lies to the right. This property makes the normal distribution such a powerful tool in statistics, allowing us to easily compute probabilities for various scenarios!