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Help please 3. A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected

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3. A survey of a sample of business students resulted in the following information regarding the genders of the individuals and their selected major. Selected Major Gender Management Marketing Others Total Male 40 10 30 180 Female 30 20 70 120 Total 70 30 100 200 a. What is the probability of selecting an individual who is majoring in Marketing? b. What is the probability of selecting a female? c. What is the probability of selecting a female who is also majoring in Management? d. What is the probability of selecting an individual who is majoring in Management, given that the person is female? e. What is the probability of selecting a female OR a management Major. f. Are the events "Female" and "Management " mutually exclusive? Explain using probabilities g. Are the events "Female" and "Management " independent events? Explain using probabilities. (15 marks)

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