Question

Suppose that there are 2 tests for cancer and a bunch of people from a hospital...

Suppose that there are 2 tests for cancer and a bunch of people from a hospital are getting tested. They are first getting tested by test 1, and secondly, by test 2. The two tests are based on entirely different principles, and lab 2 is not informed of the results of the tests from Lab 1.

  1. Suppose that someone has cancer. Suppose that 90% of those with cancer test positive at Lab 1 and 80% of those with cancer test positive at Lab 2. What is the probability that the person will test positive at both tests? If you think it is not possible to find this probability, give a reason. If you think it is possible, give your reasoning.

  2. Suppose now, that instead of the information given in Part 1, all you are told is that 90% of the people test positive at Lab 1 and 80% of the people test positive at Lab 2. What is the probability that a randomly selected person from the hospital will test positive at both tests? If you think it is not possible to find this probability give a reason. If you think it is possible, give your reasoning.

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 a particular woman tests positive; what is the probability that she has breast cancer?   To...
Suppose a particular woman tests positive; what is the probability that she has breast cancer?   To pin this question , please consider a population in which 1% of women have breast cancer, and a mammography test which has a 90% chance of returning a correct result. That is, if a woman has cancer then there is a 90% chance the test will be positive, and if a woman does not have cancer then there is a 90% chance the test...
Suppose at a lab, serum tests for hepatitis b antibodies are positive 90% of the time....
Suppose at a lab, serum tests for hepatitis b antibodies are positive 90% of the time. If 50 patient samples were tested a. What is the probability that all of the samples are positive? b. What is the probability that no more than 2 samples are positive c. What is the probability that at least 3 samples are positived. What is the mean expected number of positive results in these 50 lab tests
Suppose that the fraction of infected people in a city is p = 0.01. 100 people...
Suppose that the fraction of infected people in a city is p = 0.01. 100 people from the city board a small cruise. You can assume that the people are unrelated to each other and randomly chosen so that each person is infected independently with probability p. You can also ignore the possibility that they infect each other while boarding. Suppose that the virus test gives negative when the person has the virus with probability 0.2, and gives negative when...
Suppose that the fraction of infected people in a city is p = 0.01. 100 people...
Suppose that the fraction of infected people in a city is p = 0.01. 100 people from the city board a small cruise. You can assume that the people are unrelated to each other and randomly chosen so that each person is infected independently with probability p. You can also ignore the possibility that they infect each other while boarding. Suppose that the virus test gives negative when the person has the virus with probability 0.2, and gives negative when...
Suppose 1% of a given population have a certain genetic defect. For a new gene test,...
Suppose 1% of a given population have a certain genetic defect. For a new gene test, it gives a positive result with 90% probability when an individual does have the genetic defect, and it gives a positive result with 9.6% probability when an individual does NOT have the genetic defect. a. If a person gets a positive test result, what is the probability that he/she actually has the genetic defect? If a person gets a negative test result, what is...
Suppose that a screening test for breast cancer has 95% sensitivity and 90% specificity. Assume 1%...
Suppose that a screening test for breast cancer has 95% sensitivity and 90% specificity. Assume 1% of the population being screened truly has breast cancer. a. If you really do have breast cancer, what is the probability that the test says you do? b. If you really do not have breast cancer, what is the probability that the test says you do? c. The screening test is applied to a total of 15 people; 5 who really do have cancer...
3. A diagnostic test has 95% sensitivity (the probability a person with the condition tests positive...
3. A diagnostic test has 95% sensitivity (the probability a person with the condition tests positive = 0.95) and 95% specificity (the probability a person without the condition tests negative = 0.95). In a population of people given the test, 1% of the people have the condition (probability a person has the condition = 0.01). (a) What proportion of the people will test positive? (b) Given a person has tested positive, what is the probability he/she has the condition?
Suppose a test for cancer is given. If a person has cancer, the test will detect...
Suppose a test for cancer is given. If a person has cancer, the test will detect it in 96% of the cases; if the person does not have cancer, the test will show a positive result 1% of the time. If we assume that 12% of the population taking the test actually has cancer, what is the probability (rounded to the nearest percent) that a person taking the test and obtaining a positive actually has cancer?
Suppose that a medical test run on 372 people resulted in 38 positive results. Of those,...
Suppose that a medical test run on 372 people resulted in 38 positive results. Of those, 22 people were eventually confirmed to have the illness. Among the people who tested negative, 3 were eventually diagnosed through other means, and the rest were healthy. Find the sensitivity of the test, the specificity of the test, and the positive and negative predictive values. The positive predictive value is the probability that a person is ill given that they tested positive, and the...
To save money, lab usually merges blood samples for test. Samples from multiple people will be...
To save money, lab usually merges blood samples for test. Samples from multiple people will be tested only once, if the result is negative (i.e. no virus, every criterion is in the normal range, etc.), then all these people tested are healthy. If the result is positive (at least one person from this batch whose blood sample is abnormal), then these samples are tested one-by-one. Suppose all samples are taken independently. If the probability that for a person to get...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT