The table describes the approximate distribution of students by sex and college at a midsize public university in the West. Suppose you were to randomly select one student from this university.
| College | |||||||
|---|---|---|---|---|---|---|---|
| Gender | Education | Engineering | Liberal Arts |
Science and Math |
Agriculture | Business | Architecture |
| Male | 400 | 2,800 | 2,500 | 1,200 | 2,200 | 2,500 | 300 |
| Female | 500 | 800 | 1,500 | 1,200 | 1,000 | 2,500 | 400 |
(a)
What is the probability that the selected student is a male? (Round your answer to three decimal places.)
(b)
What is the probability that the selected student is in the College of Education? (Round your answer to three decimal places.)
(c)
What is the probability that the selected student is a male in the College of Education? (Round your answer to three decimal places.)
(d)
What is the probability that the selected student is a male who is not from Education? (Round your answer to three decimal places.)
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