Question

A magazine reported the following information for Ph.D. degrees awarded by a certain country's colleges in...

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.
  • 12,504 of these degrees were in the life sciences.
  • 9,959 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?

Math   Statistics-And-Probability   
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Answer #1

a) The probability that a randomly selected Ph.D. student who received a degree in 2013–2014 received a degree in the life sciences

b) 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) 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

= 1 - P(a randomly selected Ph.D. student who received a degree in 2013–2014 received a degree in the physical sciences)

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