Final answer:
The shaded area to the right of a z-score of 4.52 in a standard normal distribution is approximately 0.0001, which is the difference between 1 and the area to the left of the z-score, typically nearly equal to 1. This area is extremely small and often considered statistically insignificant.
Step-by-step explanation:
The student has asked to draw the standard normal distribution, shade the area to the right of the z-score of 4.52, and find the shaded area. To complete this task, one would illustrate a bell-shaped curve representing the standard normal distribution, which is a symmetrical graph centered around the mean value of 0 with a standard deviation of 1. The right tail beyond the z-score of 4.52 would be shaded. Since the standard normal distribution table (Z-table) usually provides the area to the left of a z-score, we can find the area to the right by subtracting the area to the left from 1. A z-score of 4.52 is not typically listed on the Z-table because it is so far from the mean, but it's safe to say that the area to the left is nearly 1 (or 0.9999), as almost all data within a standard normal distribution lies within three standard deviations from the mean. Therefore, the shaded area to the right of 4.52 is approximately 1 - 0.9999 = 0.0001, which is rounded to the nearest ten-thousandth. For practical use, however, we would use a statistical software or calculator capable of finding areas under the standard normal curve for such extreme z-scores. In any real-world application, the area to the right of z = 4.52 would be considered statistically insignificant, often regarded as zero for all practical purposes.