In screening for a COVID-19, the probability that a healthy person wrongly gets a positive result is 0.04. The probability that adiseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is1%. If my COVID-19 test gives a positive result, what is the probability I actually have the disease? (8 points)

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Answered: In screening for a COVID-19, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Studies show that some people who are fully vaccinated against COVID-19 will still getsick. Suppose that out of 10,000 people who are fully vaccinated, an average of one personwill get sick. ii. The probability that at leastrperson get sick is 0.2642. What is the value ofr ?
6.6.16-T Question Help The probability of flu symptoms for a person not receiving any treatment is 0.029. In a clinical trial of a common drug used to lower cholesterol, 33 of 1011 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 33 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) P(X2 33) = (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 1 part remaining Check Answer Clear All 41,109
COVID-19 vaccination is important to help stop the COVID-19 pandemic. A survey conducted showed that only 15% of the Dehli community disagree with the COVID-19 vaccination program. Twenty people of the Dehli community were randomly selected.Let Y be the number of people who disagree with the newly COVID-19 vaccination program among the selected Sirdang community. a. state the distribution of Y and give its probability distribution function b. what is the probability that all of them agree with the vaccination program? c. calculate the probability of Y not exceeding its mean.
If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal places
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According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. d. Find the probability that 130 or fewer in the sample have been fully vaccinated. Round to 4 decimal places. Would this result be unusual? Explain.
In screening for a covid-19, the probability that a healthy person wrongly gets a positive result is 0.04. The probability that a diseased person wrongly gets a negative result is 0.002. The overall rate of the disease in the population being screened is 1%. If my covid-19 test gives a positive result, what is the probability I actually have the disease?
A leading GIS company arranged a special summer training programme for students of a reputed University. The scores obtained by a random sample of 10 students are given below. Use α = 0.10 to determine whether there is a significant improvement in knowledge of the students after attending the training programme.Student Score before training Score after training1 25 322 26 3023 28 324 22 345 20 326 30 287 22 258 20 309 21 2510 24 28
A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.
There was a study done to test using a fever of 38 degrees Celsius or higher as an indicator of postoperative collapse of the lung. The results are shown below. Collapsed Lung Healthy Lung High Fever 72 37 109 Normal Fever 82 79 161 154 116 270 a) Find the sensitivity of the test, i.e. find the probability of a high fever given the lung has collapsed. b) Find the probability of a false-negative, i.e. find the probability of no fever given the lung has collapsed. c) Find the specificity of the test, i.e. find the probability of no fever given the lung is normal. Find the predictive value of the test, i.e. find the probability that the lung has collapsed and the patient has a high fever. d) e) Find the probability that you choose 3 patients that have a high fever and they all have a collapsed lung. f) With this information, is a high fever a good indication of a patient having a collapsed lung?
The probability that the weather will be sunny tomorrow is 0.73. What is the probabilitv that the weather will NoT be sunny tomorrow?
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