Question: A point D is chosen on the line AB, whose midpoint is C and whose length is . If X, the distance from D to

A point D is chosen on the line AB, whose midpoint is C and whose length is α. If X, the distance from D to A, is a random variable having the uniform density with α = 0 and β = α, what is the probability that AD, BD, and AC will form a triangle?

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