Final answer:
To find the area under the standard normal curve to the right of z=0.67, subtract the left-tail area found in a z-table (0.7486) from 1, resulting in 0.2514, which is option a.
Step-by-step explanation:
To find the area under the standard normal curve to the right of z=0.67, we can use a z-table or a statistical software/calculator. The z-table gives us the area to the left of any positive z-score. Thus, for z=0.67, the table provides the area to the left of the z-score, which needs to be subtracted from 1 to find the area to the right.
Looking up z=0.67 in the z-table returns an area of 0.7486 to the left of the z-score. Subtracting from 1, the area to the right is:
1 - 0.7486 = 0.2514
Therefore, the correct answer is option a. 0.2514.