MTH 160: Statistics
Read the following scenario and complete each of the four problem sets below:
Suppose the distribution below represents the probability of a person to make a certain grade in
Chemistry 101, where x = the letter grade of the student in the class (A=4, B=3, C=2, D=1, F=0).
X
1
2
3
4
P(X)
0.08
0.22
0.34
0.21
0.15
1. Is this an example of a valid probability distribution? Explain your answer.
<Compose answer here>
2. Determine the probability that a student selected at random would make a C or higher in
Chemistry 101.
<Compose answer here>
3. Determine the mean and standard deviation of the grade distribution.
<Compose answer here>
4. Make a NEW table that shows only the probability of students passing or failing (i.e. receiving
an F) Chemistry 101.
<Compose answer here>
5. “A professor has 30 students in his or her Chemistry 101 course and wants to determine the
probability that a certain number of these 30 students will pass his or her course.”
Does this represent a binomial experiment? Explain your answer.
<Compose answer here>
Version 1
09/13
6. Based on the Pass/Fail table, what is the probability that 24 of the 30 students enrolled in
Chemistry 101 during the spring semester will pass the course?
<Compose answer here>
7. Determine the mean and standard deviation of the data in the Pass/Fail table.
<Compose answer here>
Version 1
7/1/13