Question

A rare disease exists in 3% of the population. A medical test exists that can detect...

A rare disease exists in 3% of the population. A medical test exists that can detect (positive

results) this disease 98% of the time for those who do, in fact have this disease. On the other hand, 5% of the time positive results will come back for those who do not have this disease.

a. Draw a "tree diagram" illustrating this scenario. b. Determine the probability that a person will test positive. C. Determine the probability that a person who has tested positive does not have this

disease.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that a rare disease occurs in the general population in only one of every 10,000...
Suppose that a rare disease occurs in the general population in only one of every 10,000 people. A medical test is used to detect the disease. If a person has the disease, the probability that the test result is positive is 0.99. If a person does not have the disease, the probability that the test result is positive is 0.02. Given that a person’s test result is positive, find the probability that this person truly has the rare disease?
A medical test is available to determine whether a patient has a certain disease. To determine...
A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 10,100 people are tested. Only 100 of these people have the disease, while the other 10,000 are disease free. Of the disease-free people, 9800 get a negative result, and 200 get a positive result. The 100 people with the disease all get positive results. Use this information as you answer the questions below. 1) Find the...
Most medical tests used today have about a 5% false positive rate, which some doctors will...
Most medical tests used today have about a 5% false positive rate, which some doctors will take to mean that if a patient’s test comes back positive, that the patient has a 95% chance of having the disease. A 95% chance is very high, and so the doctor will assume that the patient has the disease and will start an aggressive and potentially dangerous course of treatment. For your first problem, you will show that, for rare diseases, this common...
3.9% of a secluded island tribe are infected with a certain disease. There is a test...
3.9% of a secluded island tribe are infected with a certain disease. There is a test for the​ disease, however the test is not completely accurate.​ 92% of those who have the disease will test positive. However​ 4.4% of those who do not have the disease will also test positive​ (false positives). Use a tree diagram to find the probability that any given person will test positive. Round your answer to three decimal places if necessary.
A person takes a test to detect the occurence of a disease. The test’s characteristics are...
A person takes a test to detect the occurence of a disease. The test’s characteristics are such that a person testing positive has actually a 70% chance actually having contracted the disease. Meaning that a person not having contracted the disease has a 30% chance of testing positive to it. The test’s results are used to allow a person to exit a quarantine – because having the disease makes them immune to it and they are no longer in risk...
it is believed that 6% of the population has propensity towards urticaria. a medical firm has...
it is believed that 6% of the population has propensity towards urticaria. a medical firm has a new test to detect urticaria. it was found that if a person has urticaria,the test will detect it in 98% of the cases. it was also found that it will show a positive result in 14% of those who do not have urticaria. what is the probability to a person who tests positively actually has urticaria
3. The flu virus infects 1 in every 250 people. The test used to detect the...
3. The flu virus infects 1 in every 250 people. The test used to detect the flu shows a positive result 70% of the time when the person actually has the flu and shows a positive result 15% of the time when a person does not have the flu. Event A will be a “person who is infected”. Event B will be a “person who tests positive.” Hint: Use a tree diagram. (a) Given that a person tests positive, what...
A virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000...
A virus has a rare occurrence:   the virus occurs,   on average,     20 out of every 200000 people. An antibody test has been devised.    Among those with the virus,    the test correctly detects the person has been infected with probability 0.95.       Among those without the virus,   the test correctly identifies the person as virus free 0.95 % of the time. Suppose  you have tested positive for the disease.    How worried should you be? Answer this by computing your probability of having the...
A certain virus infects 5% of the population. A test used to detect the virus in...
A certain virus infects 5% of the population. A test used to detect the virus in a person is positive 80% of the time if the person has the virus, and 10% of the time if the person does not have the virus. a. What is the probability that a randomly selected person tested positive and has the virus? b. What is the probability that a randomly selected person tested positive and does not have the virus? c. What is...
Consider a laboratory test to detect a disease. Let A = {event that the tested person...
Consider a laboratory test to detect a disease. Let A = {event that the tested person has the disease} B = {event that the test result is positive} and it is known that P(B|A) = 0.99, P(B|Ac ) = 0.005, and 0.1 percent of the population actually has the disease. What is the probability that a person has the disease given that a test is positive? a. Work the problem analytically. b. Write a MATLAB simulator to verify your answer.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT