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
_________________
Brent Hanneson – Creator of greenlighttestprep.comSign up for GRE Question of the Day emails