randomly asked three old women if they have ever used Tide powder at least once in washing their clothing. Each woman can answer the question with a yes (Y) or no (N). Let X be the number of women
randomly asked three old women if they have ever used Tide powder at least once in washing their clothing. Each woman can answer the question with a yes (Y) or no (N). Let X be the number of women
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Question
A boy randomly asked three old women if they have ever used Tide powder at
least once in washing their clothing. Each woman can answer the question with a yes
(Y) or no (N). Let X be the number of women who answered yes to the question.
a. List the sample space (Ω) corresponding to this experiment.
b. Show that X is a random variable. Provide a detailed and complete solution.
HINT: Use the power set of Ω as the trivial σ-algebra.
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