The following is the roster for a small upper-division business class at a unive
ID: 3022584 • Letter: T
Question
The following is the roster for a small upper-division business class at a university. The course is known as a hybrid course as some students are taking the course online and some are on the campus. Each row represents the major, class standing, course grade and format (online/campus) of each student.
Student
Major
Online
Class Standing
Grade
Melanie
Business
Yes
Junior
A
Peter
Other
Yes
Junior
A
Li
Business
No
Junior
A
Jill
Business
No
Junior
A
Nancy
Other
No
Senior
A
Nina
Other
Yes
Senior
A
Gino
Business
No
Sophomore
B
Heather
Other
Yes
Junior
B
Marcus
Other
Yes
Senior
B
Lamar
Business
No
Sophomore
B
Sam
Business
No
Senior
B
Carlos
Business
No
Senior
B
Cameron
Other
Yes
Junior
C
Tamara
Other
No
Junior
C
Jenny
Business
Yes
Junior
C
Rachel
Other
No
Senior
D
Lan
Business
Yes
Senior
D
Daniel
Business
Yes
Senior
F
Q3. (3 points) Suppose we know a student is a business major what chance is there that they are also an online student? That is, what is the conditional probability that a randomly selected student is an online student GIVEN they are a business major? P(Online | Business Major) =
Student
Major
Online
Class Standing
Grade
Melanie
Business
Yes
Junior
A
Peter
Other
Yes
Junior
A
Li
Business
No
Junior
A
Jill
Business
No
Junior
A
Nancy
Other
No
Senior
A
Nina
Other
Yes
Senior
A
Gino
Business
No
Sophomore
B
Heather
Other
Yes
Junior
B
Marcus
Other
Yes
Senior
B
Lamar
Business
No
Sophomore
B
Sam
Business
No
Senior
B
Carlos
Business
No
Senior
B
Cameron
Other
Yes
Junior
C
Tamara
Other
No
Junior
C
Jenny
Business
Yes
Junior
C
Rachel
Other
No
Senior
D
Lan
Business
Yes
Senior
D
Daniel
Business
Yes
Senior
F
Explanation / Answer
using the table that you give me there are 18 students in total
there are 9 online students
there are 10 bussiness major students
and there are 4 bussines major students that are online students too
P( online / business major ) = P( online and business ) / P( business)
P( online / business major ) = 4 / 10 = 0.40
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