A survey is being conducted of students’ residences. Data is gathered from a ran

ID: 3175055 • Letter: A

Question

A survey is being conducted of students’ residences. Data is gathered from a random sample of students. The data is summarized in the table below.

Gender and Residence of students

Males Females

Apartment off campus 60 40

Dorm room 120 180

With parents 150 50

Sorority/Fraternity House 100 100

If a student from this survey is selected at random:

1- What is the probability that a student is female and lives in a dorm?

2- What is the probability that a student is female given that she lives in a dorm?

3- What is the probability that a student lives in a dorm given that she is female?

4- What is the probability that a student lives in sorority/fraternity house or is male?

5- What are the odds against choosing a student who lives in a dorm?

1) probability that a student is female and lives in a dorm=180/800=9/40

2) probability that a student is female given that she lives in a dorm=180/300=3/5

3) probability that a student lives in a dorm given that she is female=180/370=18/37

4) probability that a student lives in sorority/fraternity house or is male =(60+120+150+100+100)/800=530/800=53/80

5)probabilty of choosing a student who lives in a dorm=300/800=3/8

hence odds against choosing a student who lives in a dorm =(1-3/8)/(3/8) =5/3

males females Total apartment 60 40 100 dorm 120 180 300 with parents 150 50 200 Sorority/fraternity 100 100 200 total 430 370 800

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