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Exercise 5.11. Sex and switching majors. At a certain university, 60% of undergraduate students are male,...

Exercise 5.11. Sex and switching majors. At a certain university, 60% of undergraduate students are male, and 40% are female. Ten percent of females change their majors at least once. Overall, 30% of students change their majors at least once. a. Find the probability that, given a randomly selected student who changes majors, the student is a female. b. What percentage of males change their majors at least once?

Math   Statistics-And-Probability   
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Answer #1

Let us denote the events

A : a randomly selected student is male

B : a randomly selected student change majors at least once

Given

a) The probability that, given a randomly selected student who changes majors, the student is a female

b) The percentage of males change their majors at least once

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