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Suppose S = {a, b, c} and we try to define the following probability measure on S: P({a, b, c}) = 1 P({a, b}) = 0.7 P({a, c}) = 0.5 P({b, c}) = 0.7 P({a}) = 0.2 P({b}) = 0.5 P({c}) = 0.3 Is P a valid probability measure? Why or why not?

Suppose S = {a, b, c} and we try to define the following probability measure on S: P({a, b, c}) = 1 P({a, b}) = 0.7 P({a, c}) = 0.5 P({b, c}) = 0.7 P({a}) = 0.2 P({b}) = 0.5 P({c}) = 0.3 Is P a valid probability measure? Why or why not?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Suppose S = {a, b, c} and we try to define the following probability measure on S: P({a, b, c}) = 1 P({a, b}) = 0.7 P({a, c}) = 0.5 P({b, c}) = 0.7 P({a}) = 0.2 P({b}) = 0.5 P({c}) = 0.3 Is P a valid probability measure? Why or why not?

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