Question

The table to the right shows the number of men and​ women, in​ thousands, enrolled in​ degree-granting institutions in a certain year. The men and women are categorized by their age groups. Complete parts​ a) through​ f) below. Men Women 14 to 17 years old 19 13 18 and 19 years old 274 321 20 and 21 years old 290 451 22 to 24 years old 544 685 25 to 29 years old 432 826 30 to 34 years old 430 447 35 years old and older 790 1 comma 443 ​a) Determine the probability of selecting a female. . 601 ​(Round to three decimal places as​ needed.) ​b) Determine the probability of selecting a student that is 22 to 24 years old. . 176 ​(Round to three decimal places as​ needed.) ​c) Determine the probability of selecting a woman who is 35 years old or older. . 207 ​(Round to three decimal places as​ needed.) ​d) Determine the probability of selecting either a student who is a woman or is 25 to 29 years old. . 663 ​(Round to three decimal places as​ needed.) ​e) Determine the probability of selecting a​ man, given that the student is 22 to 24 years old. nothing ​(Round to three decimal places as​ needed.)

Answer 1

	men	women	total
14-17	19	13	32
18-19	274	321	595
20-21	290	451	741
22-24	544	685	1229
25-29	432	826	1258
30-34	430	447	877
>=35	790	1443	2233
total	2779	4186	6965

a)

  probability of selecting a female. =4186/6965=0.601

b)

probability of selecting a student that is 22 to 24 years old. =1229/6965=0.176

c)

probability of selecting a woman who is 35 years old or older=1443/6965=0.207

d)

probability of selecting either a student who is a woman or is 25 to 29 years old =0.663

e)

probability of selecting a​ man, given that the student is 22 to 24 years old =544/1229=0.443