A test to determine whether a certain antibody is present is 99.9% effective. This means that the test will accurately come back negative if the antibodyis not present (in the test subject) 99.9% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is0.001. 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?(a) P(all 7 tests are negative) = (Round to four decimal places as needed.)

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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Whether or not you need glasses appears (ha ha) to depend mostly on your genes, but is also influenced by your environment. According to one study, for a family where both parents wear glasses with 5 children, the probability of the children needing glasses is shown below (genetics.thetech.org/ask/ask73). Number of Children with Probability Glasses 0.132 0.330 0.330 0.164 4 0.041 0.003 In a randomly selected family with 5 children, what is the probability that more than 3 children will need glasses?
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.
It has been determined that the probability of a hurricane occuring on a certain day in a certain area is 4%. What is the probability that a hurricane does not occur on that day?
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?
A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
It has been determined that there is a 75% chance of a person using their seatbelt when sitting in the back seat of a car. If 8 people leave a party and take cabs home, which of the following would be used to find the probability that 6 of them use their seatbelt when sitting in the back seat?
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?
Assume that among the general population, 13 people out of every 1000 have HIV/AIDS. A pharmaceutical company designs a screening test for HIV/AIDS that has a 99% sensitivity and an 89% specificity. Given that someone has a positive test result, what is the probability they have HIV/AIDS?

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