A unit length, thin rod breaks in two places, each break independently uniformly distributed on [0, 1). Let a be a small number. Show that the probability that one of the three pieces into which the rod breaks has length less than a is approximately ka as a → 0 where k is a constant you should determine.

A unit length, thin rod breaks in two places, each break independently uniformly distributed on [0, 1). Let a be a small number. Show that the probability that one of the three pieces into which the rod breaks has length less than a is approximately ka as a → 0 where k is a constant you should determine.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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