Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 22.2, Problem 2EPQ
To determine
A circle graph for the given data.
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Theorem 2.4 (The Hölder inequality)
Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then
.
EXY SEXY ≤ Xp Yq.
1 for all k, and set o
(ii) Let X1, X2,
that P(Xkb) =
x > 0.
Xn be independent random variables with mean 0, suppose
=
and
Var Xk. Then, for
0x) ≤2 exp-tx+121
Στ
k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that
E g(X) 0. Then,
E g(|X|)
P(|X|> x) ≤
g(x)
Chapter 22 Solutions
Practical Business Math Procedures
Ch. 22.1 - Prob. 1PQCh. 22.1 - Prob. 1EPQCh. 22.1 - Prob. 1AHCh. 22.1 - Prob. 2AHCh. 22.1 - Prob. 3AHCh. 22.1 - Prob. 4AHCh. 22.1 - Prob. 5AHCh. 22.1 - Prob. 6AHCh. 22.1 - Prob. 7AHCh. 22.1 - Prob. 8AH
Ch. 22.1 - Prob. 9AHCh. 22.1 - Prob. 10AHCh. 22.1 - Prob. 11AHCh. 22.2 - Prob. 1PQCh. 22.2 - Prob. 2PQCh. 22.2 - Prob. 3PQCh. 22.2 - Prob. 1EPQCh. 22.2 - Prob. 2EPQCh. 22.2 - Prob. 3EPQCh. 22.2 - Prob. 1AHCh. 22.2 - Prob. 2AHCh. 22.2 - Prob. 3AHCh. 22.2 - Prob. 4AHCh. 22.2 - Prob. 5AHCh. 22.2 - Prob. 6AHCh. 22.2 - Prob. 7AHCh. 22.2 - Prob. 8AHCh. 22.2 - Prob. 9AHCh. 22.2 - Prob. 10AHCh. 22.3 - Prob. 1PQCh. 22.3 - Prob. 2PQCh. 22.3 - Prob. 3PQCh. 22.3 - Prob. 1EPQCh. 22.3 - Prob. 2EPQCh. 22.3 - Prob. 3EPQCh. 22 - Prob. 1ECPCh. 22 - Prob. 2ECPCh. 22 - Prob. 3ECPCh. 22 - Prob. 4ECPCh. 22 - Calculate the grade point average: A = 4, B = 3, C...Ch. 22 - Prob. 6ECPCh. 22 - Prob. 7ECPCh. 22 - Prob. 8ECPCh. 22 - Prob. 9ECPCh. 22 - Prob. 10ECPCh. 22 - Prob. 11ECPCh. 22 - Prob. 12ECPCh. 22 - Prob. 13ECPCh. 22 - Prob. 14ECPCh. 22 - Prob. 15ECPCh. 22 - Prob. 16ECPCh. 22 - Prob. 17ECPCh. 22 - Prob. 18ECPCh. 22 - Prob. 19ECPCh. 22 - Prob. 20ECPCh. 22 - Prob. 21ECPCh. 22 - Prob. 22ECPCh. 22 - Prob. 23ECPCh. 22 - Prob. 24ECPCh. 22 - Prob. 1OACh. 22 - Prob. 2OACh. 22 - Prob. 3OACh. 22 - Calculate the standard deviation for the following...Ch. 22 - The mean useful life of car batteries is 48...Ch. 22 - Prob. 6OACh. 22 - Prob. 7OACh. 22 - Prob. 8OACh. 22 - Prob. 9OACh. 22 - Prob. 1PTCh. 22 - Lowes counted the number of customers entering the...Ch. 22 - Prob. 3PTCh. 22 - Prob. 4PTCh. 22 - Prob. 5PTCh. 22 - Prob. 6PTCh. 22 - Prob. 7PTCh. 22 - Prob. 8PT
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- Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²arrow_forwardState and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward(iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forward
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