The table to the right shows the number of men and​ women, in​thousands, enrolled in​ degree-granting institutions in a certainyear. The men and women are categorized by their age groups.Complete parts​ a) through​ f) below. | | Men | Women | |
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14 to 17 years old | 1313 | | 1010 | |
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18 and 19 years old | 274274 | | 322322 | |
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20 and 21 years old | 281281 | | 452452 | |
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22 to 24 years old | 542542 | | 681681 | |
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25 to 29 years old | 433433 | | 829829 | |
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30 to 34 years old | 430430 | | 448448 | | |
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35 years old and older | 793793 | | 1 comma 4441,444 | | |
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​a) Determine the probability of selecting a female.
​(Round to three decimal places as​ needed.)
​b) Determine the probability of selecting a student that is 22to 24 years old.
​(Round to three decimal places as​ needed.)
​c) Determine the probability of selecting a woman who is 35years old or older.
​(Round to three decimal places as​ needed.)
​d) Determine the probability of selecting either a student whois a woman or is 25 to 29 years old.
​(Round to three decimal places as​ needed.)
​e) Determine the probability of selecting a​ man, given thatthe student is 22 to 24 years old.
​(Round to three decimal places as​ needed.)
​f) Determine the probability of selecting a student that is 30to 34 years​ old, given that the student is a man.