N points are scattered at random independently of one another inside a sphere of radius R. • What is the probability that the distance from the center to the nearest point will not be less than r? • To what does the probability, found above, tend to if R → ∞ and N/R3→ k, where k is a constant.
N points are scattered at random independently of one another inside a sphere of radius R. • What is the probability that the distance from the center to the nearest point will not be less than r? • To what does the probability, found above, tend to if R → ∞ and N/R3→ k, where k is a constant.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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N points are scattered at random independently of one another inside a sphere of radius R.
• What is the probability that the distance from the center to the nearest point will not be less than r?
• To what does the probability, found above, tend to if R → ∞ and N/R3→ k, where k is a constant.
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