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A magazine reported the following information for Ph.D. degrees awarded by a certain country's colleges in the 2013-2014 academic year. (Round your answers to

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A magazine reported the following information for Ph.D. degrees awarded by a certain country's colleges in the 2013-2014 academic year. (Round your answers to three decimal places.) A total of 54,070 Ph.D. degrees were awarded. 12,304 of these degrees were in the life sciences. 9,659 of these degrees were in the physical sciences. The remaining degrees were in majors other than life or physical sciences. (a) What is the probability that a randomly selected Ph.D. student who received a degree in 2013-2014 received a degree in the life sciences? (b) What is the probability that a randomly selected Ph.D. student who received a degree in 2013-2014 received a degree that was not in a life or a physical science? (c) What is the probability that a randomly selected Ph.D. student who received a degree in 2013-2014 did not receive a degree in the physical sciences?

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