Final answer:
The area under the standard normal curve between the z-scores of 0.05 and 0.25 is found by subtracting the area to the left of z=0.05 from the area to the left of z=0.25 using a Z-table, resulting in 0.0788.
Step-by-step explanation:
To find the area under the standard normal curve between the z-scores of 0.05 and 0.25, you refer to a standard normal probability table or use a calculator with statistical functions. First, locate the area to the left for both z-scores. For instance, let's say we found an area of 0.5199 to the left of 0.05 and an area of 0.5987 to the left of 0.25 using the Z-table. To get the area between these scores, subtract the smaller area from the larger area: 0.5987 - 0.5199 equals 0.0788.
Thus, the area under the curve between z-scores 0.05 and 0.25 is 0.0788, representing the probability that a value drawn from a standard normal distribution will fall within this interval.