Homework SourseThe following is the roster for a small upperdivision busine
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 |
Solution
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
