[Solved] MATH399N Week 3 Assignment: Contingency Tables for Probability

Question

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

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

Fill in the following contingency table and find the number of students who both read mysteries AND read comics.

Question

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

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.

Question

Fill in the following contingency table and find the number of students who both have a cat AND have a dog.

Question

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

The following incomplete contingency table shows a random sample of 160 citizens were asked if they exercise. Complete the table.

 

 

Solution

The following incomplete contingency table shows a random sample of 160 citizens were asked if they exercise. Complete the table.

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