Scoring: Each correct answer is worth 1 point. Where calculations are needed to find the answer, you must show your work to receive credit.
For questions 1 – 7, use the data in the table to answer the probability questions.
NUMBER OF STUDENTS
Participate in school sports | Do not participate in school sports | Totals | |
---|---|---|---|
Male | 110 | 180 | 290 |
Female | 100 | 110 | 210 |
Total | 210 | 290 | 500 |
1. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male? Answer choices: 0.29 |
2. If a student is chosen at random from those who participated in the survey, what is the probability that the student is a male and participates in school sports? Answer choices: 0.22 |
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3. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in sports? Answer choices: 0.379 |
4. If a student is chosen at random from those who participated in the survey, what is the probability that the student participates in school sports, given that the student is a male? Answer choices: 0.379 |
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5. If a student is chosen at random from those who participated in the survey, what is the probability that the student is male, given that the student participates in sports? Answer choices: 0.379 |
6. To determine whether participating in sports and being male are independent events, which of the given probabilities should you compare? Select two choices. Answer choices: P(participate in sports) |
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7. Are participating in sports and being male independent events? Answer choices: Yes. The probabilities are the same. |
For questions 8 – 10, use the data in the table to answer the probability questions.
Regular Season | ||
---|---|---|
Number of swims under 30 seconds | Total number of swims | |
Carson | 6 | 9 |
Ellis | 10 | 12 |
Prestin | 8 | 11 |
Ryan | 7 | 10 |
Zach | 10 | 13 |
8. Complete the table to identify the probability that each swimmer can swim 50 yards in under 30 seconds during a regular season meet. Enter probabilities as decimals, rounded to two decimal places.
Probability of swimming 50 yards in under 30 seconds | |
---|---|
Carson | |
Ellis | |
Prestin | |
Ryan | |
Zach |
9. Which swimmer should the coach choose as alternate? Answer choices: Carson |
10. Which swimmer should the coach choose as anchor? Answer choices: Carson |
For questions 11 – 13, use the data in the table to answer the probability questions.
Store A | Store B | |
---|---|---|
Probability of getting a close parking space | 0.9 | 0.8 |
Probability that lines are short | 0.75 | 0.95 |
11. What is the probability that Jean will find a close parking space and short lines at store A? Answer choices: 0.675 |
12. What is the probability that Jean will find a close parking space and short lines at store B? Answer choices: 0.675 |
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13. Which store should Jean choose to maximize the probability of finding a nearby parking space and getting in a short line? Answer choices: Store A |
For questions 14 – 15, identify the probability for each random number assignment.
14. In a randomly generated list of numbers from 0 to 8, what is the probability that each number will occur? Answer choices: |
15. A randomly generated list of numbers from 0 to 7 is being used to simulate an event, with the numbers 0 and 1 representing a success. What is the estimated probability of a success? Answer choices: 20% |
For questions 16 – 20, use the random numbers given and the information in the question to assign numbers and estimate the probability of there being at least one left-handed person in a group of five people.
62349 | 02440 | 21460 | 70943 | 17506 | 94266 | 25109 | 01274 | 33656 | 11675 | ||||||||||
39380 | 36947 | 69235 | 93654 | 36711 | 27048 | 79415 | 16204 | 51022 | 27850 |
16. About 10 percent of people are left-handed. Using single digits, which would be a correct method of assigning digits? Answer choices: Left-handed: 1; right-handed: 2 – 9 |
17. How many trials were included in the simulation? Answer choices: 5 |
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18. Using 0 to represent a left-handed person, how many trials included at least one left-handed person? Answer choices: 5 |
19. What is the estimated probability that there is at least one left-handed person in a group of five people? Answer choices: 11% |
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20. If you want to increase the likelihood that your estimated probability is close to the actual probability, what should you do? Answer choices: Change the assignment of digits. Increase the number of trials from 20 to 50. Decrease the number of trials from 20 to 10. Decrease the size of the random number groups from five digits to two. |
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