Given:
The total number of students = Add all the values in the given table = 2+2+4+0+2+4+3+3+0+3 = 23 students.
The number of graduate students living in off-campus housing = 3
Required:
We need to find the probability that a randomly chosen member of the Student Government Board is a graduate student who lives in off-campus housing.
Explanation:
The sample space = Students on the Student Government Board
[tex]n(S)=23[/tex]
Let A be the event of choosing a graduate student who lives in off-campus housing.
The favourable outcomes = graduate students living in off-campus housing
[tex]n(A)=3[/tex]
The probability that a randomly chosen graduate student who lives in off-campus housing.
[tex]P(A)=\frac{n(A)}{n(S)}=\frac{3}{23}[/tex]
Final answer:
The probability of a randomly chosen graduate student living in off-campus housing is 3/23.
