Homework SourseDecision Theory Q1 A student taking management science 301 a
Decision Theory:
Q:1) A student taking management science 301 at East Haven University will receive one of the five possible grades for the course A, B, C. D OR F. The distribution of grades over the past two years is as follows:
Grade Number of students
A) 80
B) 75
C) 90
D) 30
F) 25
TOTAL = 300
If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course.
Q:2) A silver dollar is flipped twice. Calculate the probability of each of the following occurring:
A) A head on the first flip
B) a tail on the second flip given that the first toss was a head
C) two tails
d) a tail on the first and a head on the second
e)a tail on the first and a head on the second or a head on the first and a tail on the second
f) at least one head on the two flips.
| Grade Number of students |
| A) 80 |
| B) 75 |
| C) 90 |
| D) 30 |
| F) 25 |
| TOTAL = 300 |
Solution
The probability of a student receiving a C in the course is 30%.
| Grade | Number of students | Probability | |
| A) | 80 | =80/300 | 0.267 or 3 |
| B) | 75 | =75/300 | 0.25 |
| C) | 90 | =90/300 | 0.3 |
| D) | 30 | =30/300 | 0.1 |
| F) | 25 | =25/300 | 0.083 or 0.08 |
| Total | 300 |
