QuestionDiscrete Probability Distributions Worksheet MTH 160: Statistics

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. <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>

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? <Compose answer here>

7. Determine the mean and standard deviation of the data in the Pass/Fail table. <Compose answer here>

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