A department at a university plans to recruit a new faculty

A department at a university plans to recruit a new faculty member. The 410 applications yielded the following information. A candidate is picked at random and let event A be that the candidate is female and let event8 be that the candidate has 5 or more years of teaching experience. Calculate the following: Are the events A and B mutually exclusive? Justify your answer Are the events A and B independent? Justify your answer.

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