Final answer:
The probability of finding a z-score when looking for the area between the mean and the z-score when z=1.65 is 0.3446 or 34.46%.
Step-by-step explanation:
The probability of finding a z-score when looking for the area between the mean and the z-score when z=1.65 can be calculated using the z-table. The z-table shows that the area to the left of z=1.65 is 0.6554. Subtracting this area from 1 gives us 0.3446, which represents the area between the mean and z=1.65. The probability is therefore 0.3446 or 34.46%.