1. The problem asks us to find the area (probability) corresponding to $Z < -1.65$ on the standard normal distribution using the z-table. 2. The z-table gives the cumulative probability from the far left up to a specific z-score. For $Z=-1.65$, look up the value in the z-table. 3. By checking the z-table, the area to the left of $Z=-1.65$ is approximately $0.0495$. 4. This means the probability that a randomly selected value from a standard normal distribution is less than $-1.65$ is about $0.0495$. Final answer: $$\boxed{0.0495}$$