The following is the roster for a small upper-division business class at a unive
ID: 3022564 • 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
Q1. (6 points) What is the probability that a randomly selected student is:
Round all probabilities to two decimal places.
a business major? P(Business Major)=
an online student? P(Online) =
a business major AND an online student? P(Business AND Online) =
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
Here total student =18;
Number of students opted for business major (count in column 'Major') =10
P(major business ) =10/18 =0.5556
Number of students online (count in column 'online') =9
P(online) = 9/18 =0.5
number of students both Business and>
P(Business AND online) =4/18=0.2222
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