IB MATH AI HL, Paper 1, May, 2021, TZ1, Solved Past Paper

George enjoys fishing and typically catches 1.1 fish per hour. The distribution of his catch aligns with a Poisson model, which helps predict the randomness of catching fish.

Given that he spends 8 hours fishing, we want to calculate the probability that he catches more than 9 fish during this period. Essentially, this explores how likely George is to have a particularly successful day fishing, based on his average rate.

The question involves a Voronoi diagram that has three cellular phone towers, labeled T1, T2, and T3. Additionally, a fourth tower, T4, is positioned within a shaded region on the diagram. The edges displayed as dashed lines demarcate the regions closest to each tower. The scales provided indicate that each unit on the horizontal and vertical axes equates to 1 kilometer.

The problem specifies Tim's location within the shaded area of the diagram. Essentially, we're examining the spatial layout where each tower's influence diminishes at the boundaries represented by the dashed lines, understanding that T4 is specifically located within the shaded segment. This setup helps in analyzing coverage areas and their intersections.