Answered: a. P(E) < P(E N F). b. P(E) > P(E U F).…

a. P(E) < P(E N F). b. P(E) > P(E U F). c. P(E U F) < P(E) + P(F). С. d. P(E N FC) = 1 - P(E U F). e. P(E*|F) = 1 - P(E|F).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

E and F are two events of a sample space S. For each of the following probability statements, state whether it is always true, always false, or neither. Justify each answer.

a. P(E) < P(E N F).
b. P(E) > P(E U F).
c. P(E U F) < P(E) + P(F).
С.
d. P(E N FC) = 1 - P(E U F).
e. P(E*|F) = 1 - P(E|F).

Definition Definition For any random event or experiment, the set that is formed with all the possible outcomes is called a sample space. When any random event takes place that has multiple outcomes, the possible outcomes are grouped together in a set. The sample space can be anything, from a set of vectors to real numbers.

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