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A magazine reported the following information for Ph.D. degrees awarded by a certain country's colleges in the2013-2014academic year. (Round your answers to three decimal places.)

A magazine reported the following information for Ph.D. degrees awarded by a certain country's colleges in the2013-2014academic year. (Round your answers to three decimal places.)

  • A total of54,070Ph.D. degrees were awarded.
  • 12,304of these degrees were in the life sciences.
  • 9,759of 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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