A Survey of an Introductory Statistics Class in Autumn 2003

A survey of an introductory statistics class in Autumn 2003 asked students whether or not
they ate breakfast the morning of the survey. Results are as follows:
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?
f. Does it appear that whether or not a student ate breakfast is independent of the student's
sex? Explain.