Example 6-19. From a point on the circumference of a circle of radius 'a', a chort drawn in a random direction, (all directions being equally likely). Show that the expected of the length of the chord is 4a/t and that the variance of the length is 2a² (1 - 3) 8. Also show that the length of the chord will excecd the length of the side of an that the chance is equilateral triangle inscribed in the circle.
Example 6-19. From a point on the circumference of a circle of radius 'a', a chort drawn in a random direction, (all directions being equally likely). Show that the expected of the length of the chord is 4a/t and that the variance of the length is 2a² (1 - 3) 8. Also show that the length of the chord will excecd the length of the side of an that the chance is equilateral triangle inscribed in the circle.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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