Question

suppose that 1% of the us population is a carrier of covid -19.Also suppose that a...

suppose that 1% of the us population is a carrier of covid -19.Also suppose that a person that has covid-19 that the test they are given will have a positive test result of 91.9% of the time and a false negative result of 8.1% of the time.Also suppose that if a person doesn't have covid-19 then the test will result in a negative result of 99% of the time and a false positive of 1% of the time.
A) Draw a tree diagram for a selecting a person from the population an testing his/her blood.
B) Construct a probability table that shows the probabilities for individuals in this population with respect to having /not having covid-19 and test result.

Homework Answers

Answer #1

Let A and B denote the event that a randomly selected has actually the covid -19

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
One of your tree planting buddies has suggested that every person in Canada should be tested...
One of your tree planting buddies has suggested that every person in Canada should be tested for COVID-19 so we get a true, accurate, picture of who has the disease. I don't know the actual numbers but (in order to be as generous as possible) let's assume that the test is extremely accurate so that if you have COVID-19 it will show a positive result 99% of the time and if you don't have COVID-19 it will be positive only...
One of your tree planting buddies has suggested that every person in Canada should be tested...
One of your tree planting buddies has suggested that every person in Canada should be tested for COVID-19 so we get a true, accurate, picture of who has the disease. I don't know the actual numbers but (in order to be as generous as possible) let's assume that the test is extremely accurate so that if you have COVID-19 it will show a positive result 99% of the time and if you don't have COVID-19 it will be positive only...
The famous cycling race Tour de France has in recent years been plagued with accusations against...
The famous cycling race Tour de France has in recent years been plagued with accusations against cyclists for taking steroids. Testing for the presence of steroids is expensive and difficult, partly because these substances occur naturally in the human body and partly because different individuals have different levels than other individuals. It is estimated that about 2% of the racers have taken an illegal steroid. If a cyclist has taken an illegal steroid (labeled S on the tree diagram), the...
Imagine a population in the midst of an epidemic where 60% of the population is considered...
Imagine a population in the midst of an epidemic where 60% of the population is considered susceptible, 10% are infected, and 30% are recovered. There is only one test for the disease. For susceptible patients the test is accurate (i.e. returns a negative result) 95% of the time. For infected patients the test is correct (i.e. returns a positive result) 99% of the time. The test is correct (i.e. returns a negative results) 65% of the time for recovered individuals....
Imagine a population in the midst of an epidemic where 60% of the population is considered...
Imagine a population in the midst of an epidemic where 60% of the population is considered susceptible, 10% are infected, and 30% are recovered. There is only one test for the disease. For susceptible patients the test is accurate (i.e. returns a negative result) 95% of the time. For infected patients the test is correct (i.e. returns a positive result) 99% of the time. The test is correct (i.e. returns a negative results) 65% of the time for recovered individuals....
⦁   Suppose in August the Covid-19 situation has calmed down. Since not everyone shows symptoms and...
⦁   Suppose in August the Covid-19 situation has calmed down. Since not everyone shows symptoms and some symptoms could have been a different pneumonia we might use an anti-body test to see if people have had the disease. Let’s assume by August 40% of the US has had the disease. The anti-body test is not perfect. Some people will get “false positives” or “false negatives”. 90% of people who test positive will actually have had the disease. 95% of people...
A firm has developed a new test for COVID-19. If someone has COVID-19, the test finds...
A firm has developed a new test for COVID-19. If someone has COVID-19, the test finds it 93% of the time. If someone does not have COVID-19 the test returns a positive COVID-19 8% of the time. If the 30% of the populations has COVID-19, what is the probability of someone selected at random having COVID-19 if they tested positive? Give your answer to four decimal places. Please help and show work.
A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives...
A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 14%. It is estimated that 0.95% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = % The probability that, given a positive result, the person has disease X = % The...
There is a population where no one has any COVID symptoms. Even though everyone in the...
There is a population where no one has any COVID symptoms. Even though everyone in the population is asymptomatic, in reality 5% of this population is a carrier of the virus. There is a test that accurately identifies 90% of the people who are carrying the virus. If a person does not carry the virus the test identifies that accurately 85% of the time. A random person in this population is given the test, and the test comes back positive...
One of the current tests for detecting COVID-19 (the RT-PCR test rather than the antibodies test)...
One of the current tests for detecting COVID-19 (the RT-PCR test rather than the antibodies test) is better than chance, but not great. The test fails to detect COVID-19 in about 30% of patients who in fact are infected.1 But so-called "false positives" are rarer; let's estimate that the test "detects" COVID-19 in about 0.5% of patients who are not in fact infected. As of April 6, 2020, there were 1,266 confirmed cases of COVID-19 in B.C. by testing.2 Since...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT