Question: 2.12 Choose a point A at random in the interval [0, 1]. Let L1 (respectively, L2) be the length of the bigger (respectively, smaller) segment

2.12 Choose a point A at random in the interval [0, 1]. Let L1 (respectively, L2)

be the length of the bigger (respectively, smaller) segment determined by A on [0, 1].

Calculate

a) P (L1 ≤ x) for x ∈ R.

b) P (L2 ≤ x) for x ∈ R.

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