ZuoTi.Pro
Question

Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in...

Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in the U.S. The test is known to have a false positive rate of 0.01 -- that is, 1% of all positive tests are actually negative. The probability of a false negative is zero – that is, 100% of all negative tests are truly negative. You test positive. What is the probability that you actually have the swine flu? Hint: Define the event ? as “testing positive” and the event ? as “having the swine flu.”

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Let event ? be the event of “testing positive”

Let event ? be the event as “having the swine flu"

Now

P(A) = 0.99 * 1/10,000 + 0.01 * 9999/10,000 = 0.010098

We have to find

P(B/A) = P(A/B) * P(B) / P(A)

0.99* 1/10,000 1 0.0098039 0.010098 102

Thus Probability actually having swine flu = 0.98039% = 0.0098039

Please upvote. Thanks!

0 0
Add a comment
Know the answer?
Add Answer to:
Suppose that swine flu (for the purposes of this exercise) affects 1 in 10,000 people in...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • You go to see the doctor. The doctor selects you at random to have a blood...

    You go to see the doctor. The doctor selects you at random to have a blood test for swine flu, which for the purposes of this exercise we will say is currently suspected to affect 1 in 10,000. The test is 96% accurate, in the sense that the probability of a false positive is 4%. The probability of a false negative is zero. You test positive. What is the new probability that you have swine flu? (round to the nearest...

  • Recently, a drug company developed a new test for the flu. The table below shows the...

    Recently, a drug company developed a new test for the flu. The table below shows the results of the test compared to whether or not they actually had the flu. Had the Flu Didn't Have the Flu Tested Positive Tested Negative 392 8 9980 189620 Use this table to answer the following questions. Round all probabilities to at least 4 decimal places (if necessary). 1) How many people were tested? 2) What is the probability that one selected person had...

  • Question 3 (1 point) Your doctor wants you to test for a disease that affects 0.1%...

    Question 3 (1 point) Your doctor wants you to test for a disease that affects 0.1% of the population. The test is known to have a false positive rate of 1% and a false negative rate of 5%. If you test positive on the test, what is the probability that you are truly affected by the disease? Express your answer as a percentage (between 0 and 100), with 1 decimal precision.

  • Suppose next that we have even less knowledge of our patient, and we are only given...

    Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...

  • RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV)....

    RBV testing Suppose that 1% of all people are infected with the rare banana virus (RBV). There is a test to detect the RBV: if you do have the RBV, then the test will correctly detect this 99% of the time; if you do not have RBV, then the test will correctly indicate this 97% of the time. We assume that if the RBV test is given repeatedly to the same person, then the test results are independent of cach...

  • Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and p...

    Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 98 percent reliable, this means that the test will yield an accurate positive result in 98% of the cases where the disease is actually present. Gestational diabetes affects 9 percent of the population in our patient’s age group, and that our test...

  • 2. Suppose next that we have even less knowledge of our patient, and we are only...

    2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 90 percent reliable, this means that the test will yield an accurate positive result in 90% of the cases where the disease is actually present. Gestational diabetes affects 0+1 percent of the population in our patient’s age group, and that our...

  • Suppose next that we have even less knowledge of our patient, and we are only given...

    Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 96 percent reliable, this means that the test will yield an accurate positive result in 96% of the cases where the disease is actually present. Gestational diabetes affects 7 percent of the population in our patient’s age group, and that our test...

  • 2. Suppose next that we have even less knowledge of our patient, and we are only...

    2. Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 99 percent reliable, this means that the test will yield an accurate positive result in 9 of the cases where the disease is actually present. Gestational diabetes affects #.1 percent of the population in our patient's age group, and that our...

  • Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin can...

    Suppose that the people attending a resort have a long-term chance of 1 in 100 of having skin cancer (from too much sun exposure). The resort maintains a clinic to help detect this disease. Suppose that the screening used at this clinic has a false positive rate of 0.2 (that is 20% of people without skin cancer will test positive for cancer) and that it has a false negative rate of 0.1 (10% of people with skin cancer will test...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT