Consider the points A(1, 0), B(0, 1), and O(0, 0) in the xy-plane (O is the origin). On the segment OA, we randomly select a point D (using the uniform distribution). Let X be the length of the segment BD
- Compute P(X ≤ (5/4) ) and P(X ≥ (3/2)).
- Find the density function of X