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...

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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.

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1 Let A be the event that student is a maleProbability of male PA 3053 057Let B be the event student is Industrial EngineerPA I B PA B PB 1553 25 53 060Since PA is not equal to PA I BA and B are not independent See Answer

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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