A new test has been developed for determining whether or not people are carriers of the Gaussian virus.

Two hundred people are tested. A two-way table is being used to record the results.
 

1.  What is the value of `A`?   (1 mark)
   

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2.  A person randomly selected from the tested group is a carrier of the virus.
3. What is the probability that the test results would show this?   (1 mark) 

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3. If the person randomly selected has a negative result from their test, what is the probability they are not a carrier of the virus?   (2 marks)
   

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A survey of 370 people was conducted to investigate the association between watching Anime and the age of the person.

The two-way table shows the responses collected.

One response is randomly chosen. If the responder does not watch Anime, what is the probability they are 30 years old or under?

1. 16%
2. 29%
3. 33%
4. 50%

A group of 485 people was surveyed. The people were asked whether or not they smoke. The results are recorded in the table.
 

A person is selected at random from the group.

If the person chosen was a female, what is the chance she is a non-smoker?

1. 31%
2. 32%
3. 68%
4. 69%

Lie detector tests are not always accurate. A lie detector test was administered to 200 people.

The results were:

• 50 people lied. Of these, the test indicated that 40 had lied;
• 150 people did NOT lie. Of these, the test indicated that 20 had lied.

1. Complete the table using the information above   (1 mark)
     
       

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2. For what percentage of the people tested was the test accurate?   (1 mark)
   

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3. What is the probability that the test indicated a lie for a person who did NOT lie?   (1 mark)
   

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