81. HIV testing Enzyme immunoassay (EIA) testsare used to screen blood specimens for the pres-ence of antibodies to HIV, the virus that causesAIDS. Antibodies indicate the presence of thevirus. The test is quite accurate but is not alwayscorrect. Here are approximate probabilities ofpositive and negative EIA outcomes when theblood tested does and does not actually containantibodies to HIV:21g325Test ResultTruthAntibodies present0.99850.0015Antibodies absent0.0060.994Suppose that 1% of a large population carries anti-bodies to HIV in their blood. We choose a personfrom this population at random. Given that the EIAtest is positive, find the probability that the personhas the antibody. Show your work.

Obtain the probability that the person has antibody given that EIA test is positive. The probability…

Answered: HIV testing Enzyme immunoassay (EIA)…

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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Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
Please calculate the covariance and the correlation coefficient for the two random variables and briefly comment on the resulting correlation between the variables.
Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below. Magnetic Susceptibility Readings,centimeter-gram-second ✕ 10−6 (cmg ✕ 10−6) Comment MagneticSusceptibility Number ofReadings EstimatedProbability "cool" 0 ≤ x < 10 30 30/120 = 0.25 "neutral" 10 ≤ x < 20 54 54/120 = 0.45 "warm" 20 ≤ x < 30 24 24/120 = 0.20 "very interesting" 30 ≤ x < 40 6 6/120 = 0.05 "hot spot" 40 ≤ x 6 6/120 = 0.05 Suppose a "hot spot" is a site with a reading of 40 or higher. (c) What is the probability that you will need more than five readings to find the first…
Education Level Of its age-appropriate residents, approximately 18.4% of the population in Blair county, Pennsylvania earned a bachelor’s degree or higher. What’s the probability of a randomly selected county being equal to or greater than 18.4%? Fluoride Levels A county in Kentucky has 6.7% of sampled homes above suggested fluoride levels. What’s the probability of a randomly selected county being equal or greater than 6.7%? Nitrate Levels A county in Hawaii has sampled home drinking water and found that 2.2% of their homes have nitrate levels above normal. What’s the probability of a randomly selected county being greater than or equal to 2.2%? Median Income Median income in Kent county, Delaware is $55,169. What’s the probability of a randomly selected county having greater than $55,169 median income? Percent Uninsured Dewey county, Oklahoma, has a 26% uninsured rate. What’s the probability of a randomly selected county having greater than 26% uninsurance rate? Median Age The…
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 15 0 24 28 15 17 36 −9 −16 −16 y: 21 −8 27 10 10 27 22 −2 −3 −1
Magnetic surveying is one technique used by archaeologists to determine anomalies arising from variations in magnetic susceptibility. Unusual changes in magnetic susceptibility might (or might not) indicate an important archaeological discovery. Let x be a random variable that represents a magnetic susceptibility (MS) reading for a randomly chosen site at an archaeological research location. A random sample of 120 sites gave the readings shown in the table below.
Test for TB TB absent TB present Negative 1739 8 Positive 51 22 Data for TB testing using X-ray imaging Table shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. 1. Calculate the marginal probabilities of the individual random variables, i.e. the probability of positive and negative X-ray test results, and of TB being present and absent. 2. Find the probability of positive result given that TB is absent (false positive rate) and the probability of a negative result given that TB is absent (specificity). 3. Find the probability of negative result given that TB is present (false negative rate) and the probability of a positive result given that TB is present (sensitivity). 4. Find the probability that a person who tests positive actually has TB (probability of TB present given a positive result). 5. Find the probability that a person who tests negative does not have TB (probability of no TB…

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