Attendance at two-year and four-year colleges. In a large national population of college students, 61% attend four-year institutions and the rest attend two-year institutions. Males make up 44% of the students in the four-year institutions and 41% of the students in the two-year institutions.
(a) Find the four probabilities for each combination of gender and type of institution in the following table. Be sure that your probabilities sum to 1.
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Men
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Women
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Four-year institution
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Two-year institution
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(b) Consider randomly selecting a female student from this population. What is the probability that she attends a four-year institution?