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 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 thanr is 0.866. A r 4 0 X B Figure 1.6 IN O FIN
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 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 thanr is 0.866. A r 4 0 X B Figure 1.6 IN O FIN
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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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
thanr is 0.866.
A
Figure 1.6
0
X
-IN
O-IN
B
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