A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of students:
|
Major
|
|
Gender
|
Accounting
|
Management
|
Finance
|
Total
|
|
Male
|
100
|
150
|
50
|
300
|
|
Female
|
100
|
50
|
50
|
200
|
|
|
-----
|
-----
|
-----
|
-----
|
|
Total
|
200
|
200
|
100
|
500
|
a. What is the probability of selecting a female student?
b. What is the probability of selecting finance or accounting major?
c. What is the probably of selecting a female or an accounting major? Which rule of addition did you apply?
d. Are gender and major independent? Why?
e. What is the probably of selecting an accounting major, given the person in a male?
f. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability of selecting an accounting major, given that the person selected is a male?