A survey of 191 managers in a large company was conducted Th

A survey of 191 managers in a large company was conducted. Three levels of management rank were identified: upper, middle, and lower. Only 5 of the 28 upper-level managers were women, and half of all male managers, held a lower-level rank. There were a total of 77 female managers in the company, and 6 were middle-level managers. a Find the probability that a randomly selected manager is a man. b Find the probability that a randomly selected manager is a woman holding a middle-level rank. What is the probability that a randomly selected manager holds an upper-level rank, given that the manager is a woman? d What is the probability that a randomly selected manager is a man or holds an upper-level rank?

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