Question: Consider two medical tests, A and B, for a virus. Test A is 95% effective at recognizing the virus when it is present, but has

Consider two medical tests, A and B, for a virus. Test A is 95% effective at recognizing the virus when it is present, but has a 10% false positive rate (indicating that the virus is present, when it is not). Test B is 90% effective at recognizing the virus, but has a 5% false positive rate. The two tests use independent methods of identifying the virus. The virus is carried by 1% of all people. Say that a person is tested for the virus using only one of the tests, and that test comes back positive for carrying the virus. Which test returning positive is more indicative of someone really carrying the virus? Justify your answer mathematically.

Step by Step Solution

★★★★★

3.45 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let V be the statement that the patient has the virus and A and B the statements ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Artificial Intelligence Modern Questions!

Consider the two E-R diagrams in Figure 2-25, which represent a database of community service agencies and volunteers in two different cities (A and B). For each of the following three questions,...

A challenging application of control design is the use of nano robots in medicine. Nano robots will require onboard computing capability, and very tiny sensors and actuators. Fortunately, advances in...

Use the following description of the operations of the RC_Charter2 Company to complete this exercise. ¢ The RC_Charter2 Company operates a fleet of aircraft under the Federal Air Regulations...

There are two events, A and B . You have the following information about them: P ( A ) = 0 . 2 , P ( B ) = 0 . 6 , and P ( B | A ) = 0 . 9 . Compute P ( B | A ) . Show your work. [ 5 Points ]...

Consider two medical tests, A and B, for a virus. Test A is 95% effective at recognizing the virus when it is present but has a 10% false positive rate (indicating that the virus is present, when it...

3. [20 points] Consider two medical tests, A and B, for a virus. Test A is 95 % effective at recognizing the virus when it is present, but has a 10 % false positive rate (indicating that the virus is...

Consider two medical tests, A and B, for a virus. Test A is 95% effective at recog- nizing the virus when it is present, but has a 10% false positive rate (indicating that the virus is present, when...

Exercise 3 . 5 P . Consider two medical tests, A and B , for a virus. Test A is 9 5 % effective at recognizing the virus when it is present, but has a 1 0 % false positive rate ( indicating that the...

Create a case study that addresses the following questions: What was the ethical situation, and what led to the problem? How did the organization respond? What were the consequences of these actions?...

A determination of cost savings obtained by outsourcing cafeteria services is most likely to be an objective of a. Environmental auditing. b. Financial auditing. c. Compliance auditing. d....

Multiple-Choice Questions 1. Which of the following statements regarding leases is false? a. Lease agreements are a popular form of financing the purchase of assets because leases do not require a...

Circie corporation is considering opening a branch in another state. the operating cash flow will be $ 2 1 0 , 6 0 0 a year. The project will require new equipment costing $ 5 9 5 , 0 0 0 that would...

a 50:50 chance.

We defined the relaxation of the 8-puzzle in which a tile can move from square A to square B if B is blank. The exact solution of this problem defines Gaschnigs heuristic (Gaschnig, 1979). Explain...

Give the name of the algorithm those results from each of the following special cases: a. Local beam search with k = 1. b. Local beam search with one initial state and no limit on the number of...

Sometimes there is no good evaluation function for a problem, but there is a good comparison method: a way to tell whether one node is better than another, without assigning numerical values to...

The President of the United States has recently his predecessor of tapping his phones during the election. If a politician makes an accusation when wrongdoing is not actually occurring, this is: a) A...

Cold Duck Manufacturing Inc. reported sales of $743,000 at the end of last year; but this year, sales are expected to grow by 9%. Cold Duckexpects to maintain its current profit margin of 23% and...

- Upload this ndividual submission, do not consult with others in your preparation 1 List three reasons that motivate a business to develop or adapt products. Give a real-world example of each. 3...