Prove that if p(x) is a monotonic increasing positive func tion and M[p(X)] = m exists, then P(X > 1) < m ¶(t) .

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
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Prove that if p(x) is a monotonic increasing positive func-
tion and M[p(X)] =
= m exists, then
P(X > 1) <
m
q(t)
..
Transcribed Image Text:Prove that if p(x) is a monotonic increasing positive func- tion and M[p(X)] = = m exists, then P(X > 1) < m q(t) ..
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