n points are scattered at random independentlly of oneanother inside a sphere of r. • What will be 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
Section10.8: Probability
Problem 36E
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n points are scattered at random independentlly of oneanother inside a sphere of r.
• What will be 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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