Carcass wrote:

A certain college has 8,978 full-time students, some of whom live on campus and some of whom live off campus.

The following table shows the distribution of the 8,978 full-time students, by class and living arrangement.

Attachment:

#GREexcercise A certain college has 8,978 full-time students.jpg

(a) If one full-time student is selected at random, what is the probability that the student who is chosen will not be a freshman?

(b) If one full-time student who lives off campus is selected at random, what is the probability that the student will be a senior?

(c) If one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?

\((a) \frac{6,541}{8,978} (b) \frac{1,623}{4,438} (c) \frac{3,048}{4,581}\)

Math Review

Question: 13

Page: 321

Difficulty: medium/hard

(a) If one full-time student is selected at random, what is the probability that the student who is chosen will not be a freshman?We're told that there are

8,978 full-time students

Among those students, the number of freshmen = 1812 + 625 = 2437

The remaining students are NOT freshmen

So, the number of students who are NOT freshmen =

8,978 - 2437 =

6541So, P(a non freshman is chosen) =

6541/

8,978Answer: 6,541/8,978------------------------------------------

(b) If one full-time student who lives off campus is selected at random, what is the probability that the student will be a senior?The number of full-time students who live OFF campus = 625 + 908 + 1282 + 1623 =

4438Among those

4438 students there are

1623 seniors

So, P(a senior is selected) =

1623/

4438Answer: 1,623/4,438------------------------------------------

(c) If one full-time student who is a freshman or sophomore is selected at random, what is the probability that the student will be a student who lives on campus?The number of students who are freshmen OR sophomores = 1812 + 1236 + 625 + 908 =

4581Among those

4551 students the number of students who live ON campus = 1812 + 1236 =

3048So, P(chosen student lives ON campus) =

3048/

4581Answer: 3,048/4,581Cheers,

Brent

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Brent Hanneson – Creator of greenlighttestprep.com

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