Question: 2. A diagnostic test for disease is quick and cheap, but makes errors. Test positive-have the disease. Test negative-doesn't have the disease. If a person

2. A diagnostic test for disease is quick and cheap, but makes errors. Test positive-have the disease. Test negative-doesn't have the disease. If a person has the disease, the probability that the test is positive is 0.95. If a person doesn't have the disease, the probability that the test is positive is 0.015. The incident rate for the disease (the probability that a person has the disease) is 0.01. What is the probability that a person according to the test has the disease really does have it? If the test result is negative, what is the probability that you have the disease

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Mathematics Questions!

A diagnostic test for disease X correctly identifies the disease 94% of the time. False positives occur 12%. It is estimated that 3.95% of the population suffers from disease X. Suppose the test is...

A diagnostic test for disease X correctly identifies the disease 91% of the time. False positives occur 14%. It is estimated that 5.53% of the population suffers from disease X. Suppose the test is...

A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 6%. It is estimated that 5.66% of the population suffers from disease X. Suppose the test is...

Journal of Autism and Developmental Disorders, Vol. 32, No. 3, June 2002 ( 2002) Descriptive Epidemiology of Autism in a California Population: Who Is at Risk? Lisa A. Croen,1,3 Judith K. Grether,1...

The probability that a person has a certain disease is 0.03. Medical diagnostic tests are available to determine whether a person has the disease. If the disease is present, the probability that the...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Name: ID: Department of Pharmacy Worksheet #1, Bayes' Theorem Course Code: PHR 211 Course Title: Biostatistics Set- A 1. The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) =...

A - Short Questions Instructions: Answer all questions in your exam booklet. 1. A module has three assessment components: an initial assessment with a 20% weighting, a project with a 30% weighting...

2 . The probability that a person has a certain disease is 0.04. Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present,...

A study was done on children, aged 6 months to 18 years, who had nonlethal scorpion stings. Each child was randomly assigned to receive an experimental antivenom or a placebo. "Good" results were no...

X Brutus Company owned the followingo/3 investments at year-end before fair value adjustments and amortization: Financial assets at fair value through profit or loss, P600,000; financial assets at...

A thin plate of constant density covers the region bounded by the ellipse, described by the equation below, in the xy - plane. Find the second moment of the plate about the origin. ( Hint: Use the...

All India Insurance Company received an insurance premium of Its 50 lacs on an insurance policy whose coverage extends till the mid of the next accounting year. The answer should be a min of 400...

On a scale of 1 to 5, to what extent did women become totally free during the 1920s? [1 = not free at all / 5 = totally free]

On a scale of 1 to 5, to what extent did consumerism transform American society? [1 = no transformation / 5 = huge transformation]

Consider the following equation. u =(2i + v5i) f(x, y) = y/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) (b) Evaluate the gradient at the point P. Vf(1, 3) = (c) Find the rate of change of f at P...

Among a group of 5 8 programmers, who know either Java or Python or both, 1 5 only know Java and 1 3 only know Python. What is the probability of randomly choosing a programmer who knows both...

4. Set up at least one work role that is important for you to master. Reflect on how you can use your time more efficiently, not necessarily spend more time, to perform better in this work role.

3. List four goals that are important to you. Then set up the roles that correspond to these goals. How will you shape your personal vision as a result of your goals and roles?

1. What does this mean for me?