Consider randomly selecting two points A and B on the circumference of a circle by selecting their

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Consider randomly selecting two points A and B on the circumference of a circle by selecting their angles of rotation, in degrees, independently from a uniform distribution on the interval [0, 360]. Connect points A and B with a straight line segment. What is the probability that this random chord is longer than the side of an equilateral triangle inscribed inside the circle? (This is called Bertrand’s Chord Problem in the probability literature. There are other ways of randomly selecting a chord that give different answers from the one appropriate here.)

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Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

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