Question

The table to the right shows the number of men and​ women, in​ thousands, enrolled in​...

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.)

Homework Answers

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

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