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Discrete Probability Distributions Worksheet MTH 160: Statistics
Version 1 09/13

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).
1. Is this an example of a valid probability distribution? Explain your answer.
2. Determine the probability that a student selected at random would make a C or higher in Chemistry 101.
3. Determine the mean and standard deviation of the grade distribution.
4. Make a NEW table that shows only the probability of students passing or failing (i.e. receiving an F) Chemistry 101.
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.
X 0 1 2 3 4
P(X) 0.08 0.22 0.34 0.21 0.15

Version 1 7/1/13
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?
7. Determine the mean and standard deviation of the data in the Pass/Fail table.

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