A survey of students in a statistics class asked students whether or not they ate breakfast the morning of the survey. Results are as follows: Sex Breakfast Yes No Total 66 66 132 Male Female 125 74 199 Total 191 140 331 Round all answers to four decimals places and use a leading zero. a. What is the probability that a randomly selected student is female? b. What is the probability that a randomly selected student ate breakfast? c. What is the probability that a randomly selected student is a female who ate breakfast? d. What is the probability that a randomly selected student is female, given that the student ate breakfast? e. What is the probability that a randomly selected student ate breakfast, given that the student is female?

Use the data in the following table, which lists survey results from undergraduate school students. Assume that subjects are randomly selected from those included in the table. If one of the students is randomly selected, find the probability that the selected student took online courses and took in-person courses. Round three decimal places. Student Took Online Courses Yes Student took in-person courses 2800 Student have not taken in- 4460 person courses 0.748 354 0.345 O 285 No 720 140

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A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 13 18 4 35 Female 5 3 11 19 Total 18 21 15 54 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'B'.