Final answer:
The cumulative area under the standard normal distribution curve to the left of -1.75 or to the right of 1.75 is calculated using a Z-table, by adding the areas from both sides, which results in a total of 0.0802.
Step-by-step explanation:
To find the cumulative area underneath the standard normal distribution curve to the left of -1.75 or to the right of 1.75, we use the Z-table. The area to the left of a Z-score is the cumulative probability up to that Z-score. For a Z-score of -1.75, the Z-table gives an area of approximately 0.0401. To find the area to the right of 1.75, we subtract the area to the left of 1.75 from the total area under the curve, which is 1. Using the Z-table, the area to the left of 1.75 is also approximately 0.9599. Therefore, the cumulative area to the right of 1.75 is 1 - 0.9599 = 0.0401.
Since the question asks for the area to the left of -1.75 or to the right of 1.75, we add these two values together, giving us 0.0401 + 0.0401 = 0.0802. Therefore, the correct answer is c) 0.0802.