Final answer:
The area of the shaded region under the standard normal curve when z = 0.84 is approximately 0.7995 or 79.95%, which represents the cumulative probability to the left of that z-score.
Step-by-step explanation:
To find the area of the shaded region under the standard normal curve when z = 0.84, you can use a standard normal probability table (commonly referred to as a z-table) or statistical software.
First, find the z-score of 0.84 in the z-table. This provides the area under the curve to the left of z. The z-table typically shows this cumulative area, which represents the probability that a standard normally distributed variable will be less than or equal to a particular value of z.
In the case of z = 0.84, the z-table shows an area to the left of approximately 0.7995. Since the total area under the normal curve equals 1 (representing 100% probability), the shaded area to the left of z = 0.84 is 79.95% of the total area under the curve.