The area under the standard normal distribution curve between z = 2.05 and z = 2.05 is effectively zero. This is because when we are asked for the area between two identical z-scores, we are referencing a single point on the curve.
In statistical terms, the area under the curve represents the probability of the variable falling between two values. However, since these two values are the same (both are 2.05), we are not considering a range, but rather a point. The probability of a continuous random variable taking on a specific exact value is always zero.
In practice, to find the area between two different z-scores, we would typically use a z-table or a calculator designed for statistics that accounts for the area between those z-values. For example, one could find the cumulative probability associated with z = 2.05 and reference it against another z-value to find the area between them. But in this specific case, since both points are the same, the area is zero.