ZuoTi.Pro
Question

3. One half percent of the population has a particular disease. A test is developed for...

3. One half percent of the population has a particular disease. A test is developed for the disease. The test gives a false positive 3% of the time and a false negative 2% of the time. a. [7] What is the probability that Joe (a random person) tests positive? b. [6] Joe just got the bad news that the test came back positive; what is the probability that Joe has the disease?

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

disease ,and a test瓢dwaloped t8, this ousease in ushich ve A) we hawe to find bJe tut (+) PC0 005 0995 03 P2602 b T b huult a

0 0
Add a comment
Know the answer?
Add Answer to:
3. One half percent of the population has a particular disease. A test is developed for...
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

  • A disease affects 16% of the population. There is a test (not perfect) that detects disease...

    A disease affects 16% of the population. There is a test (not perfect) that detects disease with a probability of 98% (i.e comes back positive when the person has the disease). However, the test produces 5% false positives, i.e comes back positive even though the person does not have the disease. i) A person who has the disease is tested, what is the probability that the test will come back negative. ii) What is the probability that a randomly selected...

  • For a particular disease, the probability of having the disease in a particular population is 0.04....

    For a particular disease, the probability of having the disease in a particular population is 0.04. If someone from the population has the disease, the probability that she/he tests positive of this disease is 0.95. If this person does not have the disease, the probability that she/he tests positive is 0.01. What is the probability that a randomly selected person from the population has a positive test result?

  • A test has been developed to diagnose certain disease. The following information is available: 0.6 %...

    A test has been developed to diagnose certain disease. The following information is available: 0.6 % of the population have the disease When a person has the disease, the probability that the test gives a (+) signal is 0.96 When a person does not have the disease, the probability that the test gives a (-) signal is 0.04 a)      If your test result is (+), what is the probability that you actually have the disease? b)     If your test result is...

  • it is estimated that 40% of all sharks have a particular disease. Suppose a test for...

    it is estimated that 40% of all sharks have a particular disease. Suppose a test for the disease has been developed - it has a false positive rate of 10% and a false negative rate of 5%. i) calculate the probability that a randomly selected shark will test positive for the disease. ii) if a shark tests positive for the disease, what is the probability that the shark actually has the disease?

  • One percent of all individuals in a certain population are carriers of a particular disease. A...

    One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 95% detection rate for carriers and a 4% detection rate for non-carriers. Suppose the test for this is applied independently to two different blood samples from the same randomly selected individual. Hint: Use Notation A= {no disease} A'={disease} B1= {1st test positive} B2={2nd test positive} a) What is the probability that the first test is positive? b)...

  • It is estimated that 1% of all people have a particular disease. The test for this...

    It is estimated that 1% of all people have a particular disease. The test for this disease has a false positive rate of 2%, and a false negative rate of 3%. 1. Draw a tree diagram for this experiment. 2. Suppose that a person is selected at random and tested. Given that the test is negative, what is probability that the person does not have the disease?

  • 3) A certain blood test for a disease gives a positive result 90% of the time...

    3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...

  • It is known that 2.6% of the population has a certain disease. A new test is...

    It is known that 2.6% of the population has a certain disease. A new test is developed to screen for the disease. A study has shown that the test returns a positive result for 18% of all individuals, and returns a positive result for 92% of individuals who do have the disease. If a person tests positively for the disease under this test, what is the probability that they actually have the disease? 0.1276 0.1329 0.1435 0.1223 O 0.1382

  • A rare but serious disease, D, has been found in 0.01 percent of a certain population....

    A rare but serious disease, D, has been found in 0.01 percent of a certain population. A test has been developed that will be positive, p, for 98 percent of those who have the disease and be positive for 3 percent of those who do not have the disease. Find the probability that a person tested as positive does not have the disease.

  • 2. A rare disease affects 1% of the population. A test has a sensitivity of 98%,...

    2. A rare disease affects 1% of the population. A test has a sensitivity of 98%, i.e., it will give a positive result 98% of the time that a person actually has the disease. The same test also has a specificity of 95%, i.e., it will give a negative result 95% of the time when a person does not have the disease. Denote the event that a randomly person has a disease by D, and the event that a randomly...

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