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 14 to 17 years old 1313 1010 18 and 19 years old 274274 322322 20 and 21 years old 281281 452452 22 to 24 years old 542542 681681 25 to 29 years old 433433 829829 30 to 34 years old 430430 448448 35 years old and older 793793 1 comma 4441,444

​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.