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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

  1. Compute P(X ≤ (5/4) ) and P(X ≥ (3/2)).
  2.  Find the density function of X

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