EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 7, Problem 4P
a.
To determine
Find the expected amount insurance Company D will have to pay to ExxonMobil in claims.
b.
To determine
Find the likelihood that insurance Company D will actually lose less than the expected amount.
c.
To determine
Find the likelihood that insurance Company D will actually lose $300 million.
d.
To determine
Identify that annual premium at $2.0 million is fair premium or not.
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Students have asked these similar questions
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)
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 0²
Chapter 7 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
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