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?

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A:

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