Answer:
Gender and Residence of Students
a) What is the probability that a student is female and lives in a dorm?
= 58.33%
b) What is the probability that a student is female given that she lives in a dorm?
= 21%
Step-by-step explanation:
a) Data and Calculations:
Gender and Residence of Students
Males Females Total
Apartment off campus 50 90 140
Dorm room 150 210 360
With Parent(s) 100 50 150
Sorority/ Fraternity House 200 150 350
Total 500 500 1,000
a) Probability that a student is female and lives in a dorm:
= number of females who live in a dorm divided by total number of students who live in a dorm * 100
= 210/360 * 100
= 58.33%
b) Probability that a student is female given that she lives in a dorm
= number of female students who live in a dorm divided by the total number of students * 100
= 210/1,000 * 100
= 21%
