According to the CDC, as of MAY 2021, it is suspected that 2% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 5%. That means that about 5% of people who don't have COVID will nonetheless test positive. Consider the following two-way table for 10,000 randomly selected people who were tested for COVID using (RT-PCR). Positive test Negative test Total Has COVID No COVID Total A 40 200 490 9800 D 10000 1. fill in the missing values in the table. A • D 2. What is the probability of choosing someone who tested positive? 3. What is the probability of choosing someone who has COVID? 4. What is the probability of choosing someone who does not have COVID and tested positive? 5. What is the probability of choosing someone with COVID given that they tested posi- tive?

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According to the CDC, as of MAY 2021, it is suspected that 2% of the US population
currently have active coronavirus. According to Johns Hopkins, a particular type of COVID
test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes
this test, there is a 20% chance of testing negative. The false positive rate is about 5%.
That means that about 5% of people who don't have COVID will nonetheless test positive.
Consider the following two-way table for 10,000 randomly selected people who were tested
for COVID using (RT-PCR).
Positive test Negative test Total
Has COVID
A
40
200
No COVID
490
B
9800
Total
10000
1. fill in the missing values in the table.
A
• B
• C
• D
2. What is the probability of choosing someone who tested positive?
3. What is the probability of choosing someone who has COVID?
4. What is the probability of choosing someone who does not have COVID and tested
positive?
5. What is the probability of choosing someone with COVID given that they tested posi-
tive?
Transcribed Image Text:According to the CDC, as of MAY 2021, it is suspected that 2% of the US population currently have active coronavirus. According to Johns Hopkins, a particular type of COVID test (RT-PCR), has a false negative rate of 20%. That is, if a person has COVID, and takes this test, there is a 20% chance of testing negative. The false positive rate is about 5%. That means that about 5% of people who don't have COVID will nonetheless test positive. Consider the following two-way table for 10,000 randomly selected people who were tested for COVID using (RT-PCR). Positive test Negative test Total Has COVID A 40 200 No COVID 490 B 9800 Total 10000 1. fill in the missing values in the table. A • B • C • D 2. What is the probability of choosing someone who tested positive? 3. What is the probability of choosing someone who has COVID? 4. What is the probability of choosing someone who does not have COVID and tested positive? 5. What is the probability of choosing someone with COVID given that they tested posi- tive?
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