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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Exercise 11. Let P be a probability on (R, B(R)). P is called tight if for any e > 0, there is a
compact set KCR such that P(Kº) < E.
(a)
For n N, show that [-n, n] is compact (under the metric d(y, z) = |yz| for
y, z € R).
(b)
Show that P is tight.

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