In a university A, about 52% of all students are male and 48% are female. We know 20% of male students and 5% of female students are engineering majors. Assume a student can only have one major. Randomly select a student from university A.
1. What is the chance the student majors in engineering?
2. Given that the selected student major in engineering, what is the chance that the student is a female?
3. What is the chance the selected student is a male who does not major in engineering?
4. Given that the selected student does not major in engineering, what is the chance that the student is a female?