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11 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 P B. Figure 1.6

11 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 P B. Figure 1.6

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Statistics and probability
11 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 P B. Figure 1.6
Transcribed Image Text:11 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 P B. Figure 1.6
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