1. The problem is to understand the graphical illustration of the region above $z=1.46$ in statistics and probability, which relates to the standard normal distribution. 2. The standard normal distribution is a bell-shaped curve centered at zero with a mean $\mu=0$ and standard deviation $\sigma=1$. 3. The $z$-score represents the number of standard deviations a value is from the mean. 4. The area above $z=1.46$ corresponds to the probability that a standard normal variable is greater than 1.46. 5. To find this area, we use the cumulative distribution function (CDF) of the standard normal distribution, denoted $\Phi(z)$. 6. The area to the right of $z=1.46$ is $1 - \Phi(1.46)$. 7. Using standard normal tables or a calculator, $\Phi(1.46) \approx 0.9279$. 8. Therefore, the area above $z=1.46$ is approximately $$1 - 0.9279 = 0.0721.$$ This means there is about a 7.21% chance that a value is greater than 1.46 standard deviations above the mean. 9. Graphically, this is the shaded region to the right of the vertical line at $z=1.46$ under the standard normal curve.