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A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses. Choose a survey respondent at random. Define events G: good chance, M: male, and N: almost no chance. Opinion Almost no chance Some chance but probably not A 50-50 chance A good chance Almost certain Total Gender 96 Female Male Total 98 194 712 720 1416 426 286 696 663 758 1421 486 597 1083 2367 2459 4826 Given that the chosen survey respondent didn't say "almost no chance," what's the probability that this person is female? Write your answer as a probability statement using correct symbols for the events. OP (MC | NC) = 426+696+663+486 4826 = 0.471 O P (MC | NC) = 4826-96-98 = 0.960 4826 OP (NC | MC) P(MN): = OP (MC INC) = 98 194 = = = 0.505 = 4632 4826 426+696+663+486 2271 2367 2367 2271 4826 = 426+696+663+486 712+1416+1421+1083 = = 0.959 2271 4632 = 0.490

A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses. Choose a survey respondent at random. Define events G: good chance, M: male, and N: almost no chance. Opinion Almost no chance Some chance but probably not A 50-50 chance A good chance Almost certain Total Gender 96 Female Male Total 98 194 712 720 1416 426 286 696 663 758 1421 486 597 1083 2367 2459 4826 Given that the chosen survey respondent didn't say "almost no chance," what's the probability that this person is female? Write your answer as a probability statement using correct symbols for the events. OP (MC | NC) = 426+696+663+486 4826 = 0.471 O P (MC | NC) = 4826-96-98 = 0.960 4826 OP (NC | MC) P(MN): = OP (MC INC) = 98 194 = = = 0.505 = 4632 4826 426+696+663+486 2271 2367 2367 2271 4826 = 426+696+663+486 712+1416+1421+1083 = = 0.959 2271 4632 = 0.490

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses. Choose a survey respondent at random. Define events G: good chance, M: male, and N: almost no chance. Opinion Almost no chance Some chance but probably not A 50-50 chance A good chance Almost certain Total Gender Female Male Total 96 98 194 426 286 712 696 720 1416 663 758 1421 486 597 1083 2367 2459 4826 Given that the chosen survey respondent didn't say "almost no chance," what's the probability that this person is female? Write your answer as a probability statement using correct symbols for the events. OP (MC | NC) ○ P (MC | NC) = O P (NC | MC): = = = OP (MC | NC) 426+696+663+486 2271 4826 4826 = 0.960 P(M|N) = = 0.505 98 194 = 4826-96-98 4826 426+696+663+486 2271 2367 2367 = = 4632 4826 = = 0.471 = = 0.959 426+696+663+486 2271 712+1416+1421+1083 4632 = 0.490
Transcribed Image Text:A survey of 4826 randomly selected young adults (aged 19 to 25) asked, "What do you think are the chances you will have much more than a middle-class income at age 30?" The two-way table summarizes the responses. Choose a survey respondent at random. Define events G: good chance, M: male, and N: almost no chance. Opinion Almost no chance Some chance but probably not A 50-50 chance A good chance Almost certain Total Gender Female Male Total 96 98 194 426 286 712 696 720 1416 663 758 1421 486 597 1083 2367 2459 4826 Given that the chosen survey respondent didn't say "almost no chance," what's the probability that this person is female? Write your answer as a probability statement using correct symbols for the events. OP (MC | NC) ○ P (MC | NC) = O P (NC | MC): = = = OP (MC | NC) 426+696+663+486 2271 4826 4826 = 0.960 P(M|N) = = 0.505 98 194 = 4826-96-98 4826 426+696+663+486 2271 2367 2367 = = 4632 4826 = = 0.471 = = 0.959 426+696+663+486 2271 712+1416+1421+1083 4632 = 0.490
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