1. MATH 3033 based on Dekking et al
MATH 3033 based on Dekking et al. A Modern Introduction to Probability and Statistics Slides by Longin Jan Latecki
C5:

2. 5.1 Darts Example Suppose we want to make a probability
model for an experiment:
A dart hits a disc of radius r in a completely arbitrary way. We are interested in the distance X from the hitting point to the center of the disc.
Since distances cannot be negative, we have F(b) = P(X ≤ b) = 0 when b < 0.
Since the object hits the disc, we have F(b) = 1 when b > r.