OP in such a way that all points on OP have the same chance of being chosen. The chord passing through Q at right angles to OP meets the circle at points A and B. Find the probability density function of the length AB, and show that the probability that AB is greater than r is 0-866.
OP in such a way that all points on OP have the same chance of being chosen. The chord passing through Q at right angles to OP meets the circle at points A and B. Find the probability density function of the length AB, and show that the probability that AB is greater than r is 0-866.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![In Figure 1.6, OP is a radius of a circle with centre O and radius r. A point Q is chosen on
OP in such a way that all points on OP have the same chance of being chosen. The chord
passing through Q at right angles to OP meets the circle at points A and B. Find the
probability density function of the length AB, and show that the probability that AB is greater
than r is 0-866.
A
Figure 1.6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa434ba33-3781-43af-a803-da1b2e0a049c%2F95820d7a-cc4c-4a91-983f-5c5f09a79c80%2Fetkyy65_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Figure 1.6, OP is a radius of a circle with centre O and radius r. A point Q is chosen on
OP in such a way that all points on OP have the same chance of being chosen. The chord
passing through Q at right angles to OP meets the circle at points A and B. Find the
probability density function of the length AB, and show that the probability that AB is greater
than r is 0-866.
A
Figure 1.6
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