QUESTIONS
Question 1
A group of 155 seniors at a local university were asked if they took an economics class and if they had an internship.
The following table shows the results.
| Economics Class | No Economics Class | Total | |
| Internship | 30 | 68 | 98 |
| No Internship | 16 | 41 | 57 |
| Total | 46 | 109 | 155 |
According to the table, what is the probability that a randomly chosen senior does not have an internship given that they took an economics class? Give your answer as a fraction in simplest form.
Question 2
A group of 120 students at a high school were asked if they prefer streaming to live TV.
The results are shown in the table above.
| Male | Female | Total | |
| Streaming | 18 | 67 | 85 |
| Live TV | 5 | 30 | 35 |
| Total | 23 | 97 | 120 |
Given that a randomly selected survey participant is a male, what is the probability that this student prefers live TV?
- Give your answer as a fraction in simplest form.
Question 3
Fill in the following contingency table and find the number of students who both read mysteries AND read comics.
| Students | Read comic | Do not read comics | Total |
| Read mysteries | 32 | ||
| Do not read mysteries | 38 | ||
| Total | 44 | 101 |
Question 4
Complete the following contingency table and find the number of students who both do not play sports AND do not play an instrument.
| Students | Play an instrument | Do not play an instrument | Total |
| Play sports | 19 | 47 | |
| Do not play sports | 29 | ||
| Total | 46 |
Question 5
Fill in the following contingency table and find the number of students who both do not have a cat AND do not have a dog.
| Students | Have a dog | Do not have a dog | Total |
| Have a cat | 30 | 56 | |
| Do not have a cat | 55 | ||
| Total | 65 |
Question 6
Fill in the following contingency table and find the number of students who both have a cat AND have a dog.
| Students | Have a dog | Do not have a dog | Total |
| Have a cat | 49 | ||
| Do not have a cat | 17 | ||
| Total | 46 | 98 |
Question 7
Use the completed contingency table to find the probability that a citizen exercises, given that they are female. Express your answer as a fraction.
Question 8
The following incomplete contingency table shows a random sample of 160 citizens were asked if they exercise. Complete the table.
| Exercises | Do not exercise | Total | |
| Female | 1 | 71 | 93 |
| Male | 2 | 3 | 67 |
| Total | 4 | 127 | 160 |
ANSWERS:
Question 1
A group of 155 seniors at a local university were asked if they took an economics class and if they had an internship.
The following table shows the results.
| Economics Class | No Economics Class | Total | |
| Internship | 30 | 68 | 98 |
| No Internship | 16 | 41 | 57 |
| Total | 46 | 109 | 155 |
According to the table, what is the probability that a randomly chosen senior does not have an internship given that they took an economics class? Give your answer as a fraction in simplest form.
Answer:
8/23
Question 2
A group of 120 students at a high school were asked if they prefer streaming to live TV.
The results are shown in the table above.
| Male | Female | Total | |
| Streaming | 18 | 67 | 85 |
| Live TV | 5 | 30 | 35 |
| Total | 23 | 97 | 120 |
Given that a randomly selected survey participant is a male, what is the probability that this student prefers live TV?
- Give your answer as a fraction in simplest form.
Answer:
5/23
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