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?

Name: Q3) A total of 500 married working couples were surveyed whether thei
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Description: Q3) A total of 500 married working couples were surveyed whether their annual wagesexceeded $ 75,000. The following information was obtained:HusbandWifeLess than $ 75,000More than $ 75,000Less than $ 75,000212198More than $ 75,0003654a) Assuming tha

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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