| Sex | Industrial Engineering | Mechanical Engineering | Electrival Engineering | Civil Engineering | Total |
| Male | 15 | 6 | 7 | 2 | 30 |
| Female | 10 | 4 | 3 | 6 | 23 |
| Total | 25 | 10 | 10 | 8 | 53 |
1.) Based on your answers on part a and d, are sex and collegemajor of students in this class independent? Provide a mathematicalargument? (Problem A asked probability students are male which was30/53=0.57 and Problem D asked probability student is industrialengineer given the student is male which ended up being 0.60)
2.) Consider the events A and B. Are sex and college majormutually exclusive events? Provide a mathematical argument tojustify your answer.
3.) Find the probability that the randomly selected student ismale or industrial engineering college major.
4.) Consider the events C and D. Are college major mutuallyexclusive events? Provide a mathematical argument to justify youranswer.
