Quiz: Introduction to Probability

Use the chart below showing the gender and the year in school for 30 students in a statistics class for problems 1 through 14.

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1. What is the probability that a randomly selected student is a female?
a. 1/2
b. 7/13
c. 8/15
2. What is the probability that a randomly selected student is a senior?
a. 1/2
b. 9/16
c. 17/30
3. What is the probability that a randomly selected student is a female and a senior?
a. 1/4
b. 3/10
c. 9/16
4. What is the probability that a randomly selected student is a female or a senior?
a. 3/4
b. 4/5
c. 11/10
5. What is the probability that a randomly selected female student is a senior?
a. 1/2
b. 9/17
c. 9/16
6. What is the probability that a randomly selected senior student is a female?
a. 1/2
b. 9/17
c. 9/16
7. Suppose that two students are randomly selected from the class without replacement. What is the probability that both students are female?
a. 1/4
b. 8/29
c. 64/225
8. Suppose that two students are randomly selected from the class without replacement. What is the probability that neither student is female?
a. 1/4
b. 49/225
c. 91/435
9. Suppose that two students are randomly selected from the class without replacement. What is the probability that exactly one student is female?
a. 1/2
b. 112/435
c. 224/435
10. Suppose that two students are randomly selected from the class with replacement. What is the probability that both students are female?
a. 1/4
b. 8/29
c. 64/225
11. Suppose that two students are randomly selected from the class with replacement. What is the probability that neither student is female?
a. 1/4
b. 49/225
c. 91/435
12. Suppose that two students are randomly selected from the class with replacement. What is the probability that exactly one student is female?
a. 1/2
b. 112/225
c. 224/435
13. Are the events “female” and “senior” mutually exclusive?
a. no
b. yes
c. it cannot be determined
14. Are the events “female” and “senior” independent?
a. no
b. yes
c. it cannot be determined

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