EBK STATISTICAL TECHNIQUES IN BUSINESS
17th Edition
ISBN: 9781259924163
Author: Lind
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 5, Problem 14E
The chair of the board of directors says, “There is a 50% chance this company will earn a profit, a 30% chance it will break even, and a 20% chance it will lose money next quarter.”
- a. Use an
addition rule to find theprobability the company will not lose money next quarter. - b. Use the complement rule to find the probability it will not lose money next quarter.
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6. Show that
I(AUB) = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I(AB)= min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I{B} = (I{A} - I{B})².
-
11. Suppose that the events (An, n ≥ 1) are independent. Show that the inclusion-
exclusion formula reduces to
P(UAL)-1-(1-P(Ak)).
k=1
k=1
8. Show that, if {Xn, n≥ 1} are independent random variables, then
sup X,, A) < ∞ for some A.
Chapter 5 Solutions
EBK STATISTICAL TECHNIQUES IN BUSINESS
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