One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female. a)Draw a completed contingency table, showing totals, to illustrate the information above.  b)If one person was randomly selected, what is the probability that the person is: (i) female?  (ii) female or responded “no”?  (iii) female given that they responded “no”?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.12P
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One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female.
a)Draw a completed contingency table, showing totals, to illustrate the information above. 
b)If one person was randomly selected, what is the probability that the person is:
(i) female? 
(ii) female or responded “no”? 
(iii) female given that they responded “no”? 

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