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 mects 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 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 mects 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 B. Figure 1.6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed02ea78-d3f1-4cdb-a0bc-94ee25177bd4%2F52de89c4-e19d-4cd1-9f4f-ffddbdc19f35%2Fnjhk9eq_processed.jpeg&w=3840&q=75)
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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