Final answer:
The range of diopters for eyeglass lenses that this person might need after the LASIK procedure is between 8.55 D and 9.45 D.
Step-by-step explanation:
To find the range of diopters for eyeglass lenses that the person might need after the LASIK procedure, we need to consider the reduction in power of their eye and the uncertainty in the final correction. The laser reshaping the cornea reduces the power of the eye by 9.00 D. With a ±5.0% uncertainty, we can calculate the range as follows:
Minimum range = 9.00 D - (9.00 D * 0.05) = 8.55 D
Maximum range = 9.00 D + (9.00 D * 0.05) = 9.45 D
Therefore, the range of diopters for eyeglass lenses that this person might need after the LASIK procedure is between 8.55 D and 9.45 D.