In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student did not complete the homework given that the student passed the test? Completed the homework Did not complete the homework Passed the test 11 2 Failed the test 6 4

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.)

At a particular college 19 percent of the students major in Business. All Business majors are required to take a Statistics Course. Of the students not majoring in Business, 42 percent of them still have to take a Statistics Course. What is the probability that a student has to take a Statistics Course at this particular college? Type your anser as a decimal to 4 decimal places.

Psychologists have found that an equal number of students rate the following qualities as most important in a potential romantic interest:attractive,successful trustworthy loyal funny and kind what is the probability that the next student tested rates attractive or successful as the most important quality