A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. The two-way table displays the data.
A 6-column table with 3 rows. Column 1 has entries early bird, night owl, total. Column 2 is labeled English with entries 21, 13, 34. Column 3 is labeled math with entries 16, 17, 33. Column 4 is labeled science with entries 9, 26, 35. Column 5 is labeled history with entries 13, 7, 20. Column 6 is labeled total with entries 59, 63, 122. The columns are titled course taught, and the rows are titled sleeping habit.
Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?
StartFraction 17 Over 63 EndFraction
StartFraction 16 Over 59 EndFraction
StartFraction 16 Over 33 EndFraction
