For a medical test, the probability of testing positive for a healthy person is 5%. Based...

For a medical test, the probability of testing positive for a healthy person is 5%. Based on this, can we find the probability of testing positive for an infected person? If yes, explain how; if no, explain why.

Expert Solution

Here' the answer to the question. please write back in case you've doubts.

Probability of testing positive for an infected person can be found if you know these:

1. Number of people are actually infected , lets say this is x

2. Number of people who are actually infected and have been correctly tested positive. , lets say this is y

So, the probability of testing positive for an infected person is x/y

Now, if you know the the probability of testing postive for a healthy person is 5% , you don't x and y. You can still find out x by subtracting x from total people in the test. But you still don't know y.

Hence, probability of testing positive for an infected person CANNOT be found out

In other words:

You know the you know the Fale Positive (FP) , but using this cannot find out the TP

orchestra answered 2 years ago

Somebody speculates that a person will test COVID 19 positive with probability 0.2. Then for finding...

Somebody speculates that a person will test COVID 19 positive with probability 0.2. Then for finding the probability for exactly 100 patients testing positive in a sample of 400 patients, how do you do continuity correction? In the above question, what is the required probability using normal approximation to binomial? What is the probability that at least 70 patients test COVID 19 positive?

If an infected person is tested for corona, the probability that the test will give a...

If an infected person is tested for corona, the probability that the test will give a positive result is 0.60 and if this person is not infected the probability that it will give a positive result is 0.10. Suppose that 2% of the people are corona infected. If one random person is tested for corona using this test, then the probability that the test will give a positive result is

5. A. Typically, the brain of a healthy, alert older person features __________ in comparison to...

5. A. Typically, the brain of a healthy, alert older person features __________ in comparison to the brain of a middle‑aged person: a. more neurons with decreased dendritic branching. b. equal numbers of neurons with decreased dendritic branching. c. fewer neurons and decreased dendritic branching. d. fewer neurons and increased dendritic branching. B. In general, the two hemispheres of the brain are specialized. The left hemisphere of the brain emphasizes __________, while the right side of the brain...

Assume there is a medical test to diagnose a disease. If a person has the disease,...

Assume there is a medical test to diagnose a disease. If a person has the disease, the probability of having positive test result is 98 percent. If a person does not have the disease, the probability of having negative test results is 99.6 percent. The probability that a person has a disease is 1 percent in the population. Answer the following questions: a) If a person has a positive test result, what is the probability that he/she has the disease?...

A test is designed to detect cancer. If a person has cnacer, then the probability that...

A test is designed to detect cancer. If a person has cnacer, then the probability that the test will detect it is .95; if the person does not have cancer, the probability that the test will erroneously indicate that he does have cancer is .1. Assume 15% of the population who take the test have cancer. What is t he probability that a person described by the test as not having cancer really does have it?

The sensitivity of a diagnostic test is the probability that a true positive (e.g. someone with...

The sensitivity of a diagnostic test is the probability that a true positive (e.g. someone with the disease under question) is correctly identified as such. The specificity, on the other hand, is the probability that a true negative (e.g. a healthy person) is not reported as a positive. You have a COVID-19 antibody test with specificity α and sensitivity β. There are N people in a particular population, and suppose we already know that n of them have the disease....

The probability of getting a false-positive result for a single person, was 0.3%. What would be...

The probability of getting a false-positive result for a single person, was 0.3%. What would be the new approximate percentage probability of getting at least one false-positive result, if 650 people had been tested, instead of 550? What would be the new approximate percentage probability of getting at least one false-positive result, if 550 people are still tested, but the probability of getting a false-positive result for a single person was 0.4% instead of 0.3% ?

Assume that on a standardized test of 100 questions, a person has a probability of 80%...

Assume that on a standardized test of 100 questions, a person has a probability of 80% of answering any particular question correctly. Find the probability of answering between 70 and 80 questions, inclusive. (Assume independence, and round your answer to four decimal places.) P(70 ≤ X ≤ 80) =

Sensitivity is the probability that a test will identify a person who has the disease you...

Sensitivity is the probability that a test will identify a person who has the disease you are testing for. Question 9 options: True False Which of the following statements is NOT true when describing Specificity? Question 10 options: A) It measures the effectiveness of a test in returning a negative test result to people who do not have the disease. B) It is the ability of a test to correctly identify people who have the disease you are testing for....

In one city, the probability that a person will pass his or her driving test on...

In one city, the probability that a person will pass his or her driving test on the first attempt is 0.7. Assume that 10 people are selected at random from among those taking their driving test for the first time. (a) [5 points] What are the values of n, p, and q in this problem? (b) [30 points] What is the probability that at least 8 of the 10 selected people pass the test? (c) [10 points] Determine the mean...

Question