In a class of students, the following datatable summarizes how many students playan instrument or a sport. What is theprobability that a student plays aninstrument given that they play a sport?Plays a sportDoes not playa sportPlays aninstrument28Does not play aninstrument104

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Answered: In a class of students, the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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A 2012 study asked respondents about their confidence in banks and financial institutions as well as their confidence in major corporations. Each question allowed three responses: "a great deal, only some, or hardly any." The table to the right summarizes the responses. Find the probability a respondent has a great deal of confidence in major corporations given that he or she has only some confidence in banks and financial institutions. Confidence in Banks and Financial Institutions A Great Deal Only Some Hardly Any Total Confidence in Major Corporations A Great Only Hardly Deal Some Any 69 59 14 133 465 74 23 288 183 225 812 271 Total 142 672 494 1308 The probability a respondent has a great deal of confidence major corporations given that he or she has only some confidence in banks and financial institutions is (Round to four decimal places as needed.)
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In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student plays an instrument given that they play a sport? Plays a sport Does not play a sport Plays an instrument 2 8 Does not play an instrument 10 4