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a) Assuming that the survey is representative of all married working couples, what is the probability that: 1) Does the husband earn less than $ 75,000? 2) The wife earns more than $ 75,000 or the husband earns more than $ 75,000 3) Does the wife earn more than $ 75,000 given that the husband earn more than $ 75,000?

a) Assuming that the survey is representative of all married working couples, what is the probability that: 1) Does the husband earn less than $ 75,000? 2) The wife earns more than $ 75,000 or the husband earns more than $ 75,000 3) Does the wife earn more than $ 75,000 given that the husband earn more than $ 75,000?

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 32E
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Q3) A total of 500 married working couples were surveyed whether their annual wages exceeded $ 75,000. The following information was obtained: Husband Wife Less than $ 75,000 More than $ 75,000 Less than $ 75,000 212 198 More than $ 75,000 36 54 a) Assuming that the survey is representative of all married working couples, what is the probability that: 1) Does the husband earn less than $ 75,000? 2) The wife earns more than $ 75,000 or the husband earns more than $ 75,000 3) Does the wife earn more than $ 75,000 given that the husband earn more than $ 75,000? 4) Does the wife earn more than $ 75,000 given that the husband earn less than $ 75,000? 5) Using Bayes' theorem, the probability that the husband earns more than $ 75,000 given that the wife earns more. b) Are the two events independent? Say YES or NO and justify your answer accordingly.
Transcribed Image Text:Q3) A total of 500 married working couples were surveyed whether their annual wages exceeded $ 75,000. The following information was obtained: Husband Wife Less than $ 75,000 More than $ 75,000 Less than $ 75,000 212 198 More than $ 75,000 36 54 a) Assuming that the survey is representative of all married working couples, what is the probability that: 1) Does the husband earn less than $ 75,000? 2) The wife earns more than $ 75,000 or the husband earns more than $ 75,000 3) Does the wife earn more than $ 75,000 given that the husband earn more than $ 75,000? 4) Does the wife earn more than $ 75,000 given that the husband earn less than $ 75,000? 5) Using Bayes' theorem, the probability that the husband earns more than $ 75,000 given that the wife earns more. b) Are the two events independent? Say YES or NO and justify your answer accordingly.
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