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25. From a point on the circumference of a circle of radius a, a chord is drawn in a random direction (all directions are equally likely). 4a and that the TC Show that the expected value of the length of the chord is variance of the length is 2a' (1 – 8/n). Also show that the chance is that the length of the chord will exceed the length of the side of an equilateral triangle inscribed in the circle. /

25. From a point on the circumference of a circle of radius a, a chord is drawn in a random direction (all directions are equally likely). 4a and that the TC Show that the expected value of the length of the chord is variance of the length is 2a' (1 – 8/n). Also show that the chance is that the length of the chord will exceed the length of the side of an equilateral triangle inscribed in the circle. /

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 14CT: Assume that a die used for gaming is in the shape of a regular octahedron. The faces are numbered...
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From a point on the circumference of a circle of radius a, a chord is drawn in a random direction (all directions are equally likely). 25. 4a and that the Show that the expected value of the length of the chord is variance of the length is 2a (1 – 8/n). Also show that the chance is that the length of the chord will exceed the length of the side of an equilateral triangle inscribed in the circle. /
Transcribed Image Text:From a point on the circumference of a circle of radius a, a chord is drawn in a random direction (all directions are equally likely). 25. 4a and that the Show that the expected value of the length of the chord is variance of the length is 2a (1 – 8/n). Also show that the chance is that the length of the chord will exceed the length of the side of an equilateral triangle inscribed in the circle. /
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