e. Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband? f. Given a response "We are equal," what is the probability that the response came from a husband? What is the probability that the response came from a wife?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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Solve for E, F, and G

To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1,010 married adults age 25 and older with household incomes of $50,000 or more (Money website). Consider the
following example set of responses to the question, "Who is better at getting deals?"
Who Is Better?
Respondent
I Am
My Spouse
We Are Equal
Husband
278
127
102
Wife
290
111
102
Round your answers to four decimal places, if necessary.
a. Develop a joint probability table and use it to answer the following questions.
Respondent
I am
My spouse
We are equal
Total
Husband
0.2752
0.1257
0.1009
0.5019
Wife
0.2871
0.1099
0.1009
0.4979
Total
0.5623
0.2356
0.2019
b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.
Transcribed Image Text:To better understand how husbands and wives feel about their finances, Money Magazine conducted a national poll of 1,010 married adults age 25 and older with household incomes of $50,000 or more (Money website). Consider the following example set of responses to the question, "Who is better at getting deals?" Who Is Better? Respondent I Am My Spouse We Are Equal Husband 278 127 102 Wife 290 111 102 Round your answers to four decimal places, if necessary. a. Develop a joint probability table and use it to answer the following questions. Respondent I am My spouse We are equal Total Husband 0.2752 0.1257 0.1009 0.5019 Wife 0.2871 0.1099 0.1009 0.4979 Total 0.5623 0.2356 0.2019 b. Construct the marginal probabilities for Who Is Better (I Am, My Spouse, We Are Equal). Comment.
e. Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband?
f. Given a response "We are equal," what is the probability that the response came from a husband?
What is the probability that the response came from a wife?
Transcribed Image Text:e. Given a response "My spouse" is better at getting deals, what is the probability that the response came from a husband? f. Given a response "We are equal," what is the probability that the response came from a husband? What is the probability that the response came from a wife?
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