Instructions: Answer all questions. Show all working. 1. 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”?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 5E
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Instructions: Answer all questions. Show all working. 1. 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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