Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 13, Problem 11ECP
To determine
The value of John Regan’s annuity at the end of
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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 13 Solutions
Practical Business Math Procedures
Ch. 13.1 - Using Table 13.1, (a) find the value of an...Ch. 13.1 - Prob. 2PQCh. 13.1 - Prob. 1EPQCh. 13.1 - Prob. 2EPQCh. 13.1 - Prob. 1AHCh. 13.1 - Prob. 2AHCh. 13.1 - Prob. 3AHCh. 13.1 - Prob. 4AHCh. 13.1 - Prob. 5AHCh. 13.1 - Prob. 6AH
Ch. 13.1 - Prob. 7AHCh. 13.1 - Prob. 8AHCh. 13.1 - Prob. 9AHCh. 13.1 - Prob. 10AHCh. 13.1 - Prob. 11AHCh. 13.2 - Prob. 1PQCh. 13.2 - Prob. 2PQCh. 13.2 - Prob. 3PQCh. 13.2 - Prob. 1EPQCh. 13.2 - Prob. 2EPQCh. 13.2 - Prob. 3EPQCh. 13.2 - Prob. 1AHCh. 13.2 - Prob. 2AHCh. 13.2 - Prob. 3AHCh. 13.2 - Prob. 4AHCh. 13.2 - Prob. 5AHCh. 13.2 - Prob. 6AHCh. 13.2 - Prob. 7AHCh. 13.2 - Prob. 8AHCh. 13.2 - Prob. 9AHCh. 13.2 - Prob. 10AHCh. 13.2 - Prob. 11AHCh. 13.2 - Prob. 12AHCh. 13.3 - Prob. 1PQCh. 13.3 - Prob. 1EPQCh. 13.3 - Prob. 1AHCh. 13.3 - Prob. 2AHCh. 13.3 - Prob. 3AHCh. 13.3 - Arlex Oil Corporation plans to build a new garage...Ch. 13.3 - The City Fisheries Corporation sold $300,000 worth...Ch. 13.3 - Prob. 6AHCh. 13.3 - Prob. 7AHCh. 13.3 - The Lowest-Price-in-Town Company needs $75,500 in...Ch. 13.3 - Prob. 9AHCh. 13 - Prob. 1ECPCh. 13 - Prob. 2ECPCh. 13 - Prob. 3ECPCh. 13 - Prob. 4ECPCh. 13 - Prob. 5ECPCh. 13 - Prob. 6ECPCh. 13 - Prob. 7ECPCh. 13 - Prob. 8ECPCh. 13 - Prob. 9ECPCh. 13 - Check the answer in Problem 13–9 by Table 13.1. LU...Ch. 13 - Prob. 11ECPCh. 13 - Ed Long promised to pay his son $400 semiannually...Ch. 13 - Prob. 13ECPCh. 13 - Prob. 14ECPCh. 13 - Prob. 15ECPCh. 13 - Prob. 16ECPCh. 13 - Prob. 17ECPCh. 13 - Prob. 18ECPCh. 13 - Prob. 19ECPCh. 13 - Prob. 20ECPCh. 13 - Prob. 21ECPCh. 13 - Prob. 22ECPCh. 13 - Prob. 23ECPCh. 13 - You are earning an average of $46,500 and will...Ch. 13 - Prob. 25ECPCh. 13 - Prob. 26ECPCh. 13 - A1 Vincent has decided to retire to Arizona in 10...Ch. 13 - Prob. 28ECPCh. 13 - Prob. 29ECPCh. 13 - Prob. 30ECPCh. 13 - Prob. 31ECPCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Twice a year for 15 years, Warren Ford invested...Ch. 13 - Scupper Molly invested $1,800 semiannually for 23...Ch. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 1CRCh. 13 - Prob. 2CRCh. 13 - Prob. 3CRCh. 13 - Prob. 4CRCh. 13 - Prob. 5CRCh. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CR
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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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