Question 2. Graduate students at the College on the River and in the Cloud recei
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Question 2. Graduate students at the College on the River and in the Cloud received 10,000 course grades last semester, broken down in the Table below by which school of the university taught the course. The schools are Management, Computer Science, and Communication. It is rumored that grades are lower in Computer Science than in Management and social sciences, due to some very strict, old-school graders. Consider the two events A = the grade comes from a Computer Science course B = the grade is below a B (this includes a B-) Grade Level A B Below B Total Management 2142 1890 2268 6300 Computer Science 368 432 800 1600 Communication 882 630 588 2100 Total 3392 2952 3656 10000 c) What is the probability that a randomly selected student was from the Computer Science school AND received a grade of B or lower? Show or explain how you obtain your answer. (6 pts.) Question 2. Graduate students at the College on the River and in the Cloud received 10,000 course grades last semester, broken down in the Table below by which school of the university taught the course. The schools are Management, Computer Science, and Communication. It is rumored that grades are lower in Computer Science than in Management and social sciences, due to some very strict, old-school graders. Consider the two events A = the grade comes from a Computer Science course B = the grade is below a B (this includes a B-) Grade Level A B Below B Total Management 2142 1890 2268 6300 Computer Science 368 432 800 1600 Communication 882 630 588 2100 Total 3392 2952 3656 10000 c) What is the probability that a randomly selected student was from the Computer Science school AND received a grade of B or lower? Show or explain how you obtain your answer. (6 pts.)Explanation / Answer
Answer:
Question 2. Graduate students at the College on the River and in the Cloud received 10,000 course grades last semester, broken down in the Table below by which school of the university taught the course. The schools are Management, Computer Science, and Communication.
It is rumored that grades are lower in Computer Science than in Management and social sciences, due to some very strict, old-school graders. Consider the two events
A = the grade comes from a Computer Science course
B = the grade is below a B (this includes a B-)
Grade Level
A
B
Below B
Total
Management
2142
1890
2268
6300
Computer Science
368
432
800
1600
Communication
882
630
588
2100
Total
3392
2952
3656
10000
c) What is the probability that a randomly selected student was from the Computer Science school AND received a grade of B or lower? Show or explain how you obtain your answer. (6 pts.)
Number of students from the Computer Science school AND received a grade of B or lower = 432+800 =1232
The required probability = 1232/10000
=0.1232
Question 2. Graduate students at the College on the River and in the Cloud received 10,000 course grades last semester, broken down in the Table below by which school of the university taught the course. The schools are Management, Computer Science, and Communication.
It is rumored that grades are lower in Computer Science than in Management and social sciences, due to some very strict, old-school graders. Consider the two events
A = the grade comes from a Computer Science course
B = the grade is below a B (this includes a B-)
Grade Level
A
B
Below B
Total
Management
2142
1890
2268
6300
Computer Science
368
432
800
1600
Communication
882
630
588
2100
Total
3392
2952
3656
10000
c) What is the probability that a randomly selected student was from the Computer Science school AND received a grade of B or lower? Show or explain how you obtain your answer. (6 pts.)
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