A test to determine whether a certain antibody is present is 99.3% effective. This means that the test will accurately come back negative if the antibody is not present(in the test subject) 99.3% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.007. Suppose the test isgiven to six randomly selected people who do not have the antibody.(a) What is the probability that the test comes back negative for all six people?(b) What is the probability that the test comes back positive for at least one of the six people?(a) P(all 6 tests are negative) =(Round to four decimal places as needed.)

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Answered: A test to determine whether a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose a lung cancer test is 85% sensitive and 93% specific. That is, the test will produce 85% true positive results for those with lung cancer and 93% true negative results for those without lung cancer. Suppose that 3.2% of people actually have lung cancer. If a randomly selected individual tests positive, what is the probability he or she does not have cancer? YOUR ANSWER SHOULD BE BETWEEN O AND 100 AND ROUNDED To 4 DECIMAL PLACES. (e.g. 59.5321 would be 59.5321%)
The probability of a randomly selected adult in one country being infected with a certain virus is 0.002. In tests for the virus, blood sample tests from 13 people are combined. What is the probability that hte combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
A company ran a clinical trial of a new drug. 781 volunteers participated in the study. Of these participants, 462 indicated that the drug helped relieve their symptoms. Assume that the efficacy of the drug is the same for any group of people with these symptoms. If we were to administer this drug to a random sample of 6 individuals with symptoms, what is the probability that .. the drug relieves symptoms for all of them? .. the drug fails to relieve symptoms for at least one of them? the drug relieves symptoms for exactly 2 of them? (round to four decimal places)
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
A test to determine whether a certain antibody is present is 99.4% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.4% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.006. Suppose the test is given to seven randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all seven people? (b) What is the probability that the test comes back positive for at least one of the seven people?
1. A test to determine whether a certain antibody is present is 99.2% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.2% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.008. Suppose the test is given to five randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all five people? (b) What is the probability that the test comes back positive for at least one of the five people? (a) P(all 5 tests are negative) = (Round to four decimal places as needed.) %3D (b) P(at least one positive): (Round to four decimal places as needed.)
A test to determine whether a certain antibody is present is 99.2% effective. This means that the test will accurately come back negative if the antibody is not present (in the test subject) 99.2% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.008. Suppose the test is given to six randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all six people? (b) What is the probability that the test comes back positive for at least one of the six people?
A disease affects 1 out of 10,000 people. There is a test to check whether a person has the disease. The test is accurate. In particular, we know the following: (a) The probability that the test result is positive given that the person does not have the disease, is only 2 percent. (b) The probability that the test result is negative given that the person has the disease, is only 1 percent. Question: A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?

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