Solve the problem.1) Suppose the probability of a student being infected with COVID-19 is 10%. An 1)at-home covid test will yield either a positive or negative result. Given that thestudent has COVID-19, the probability of a positive test result is 0.995. Giventhat the student does not have COVid-19, the probability of a negative testresult is 0.992. Given that a positive test result has been observed for anstudent, what is the probability that they actually have COVID-19?A) 0.9928B) 0.0995C) 0.9325uthor's Consent

Answered: Suppose the probability of a student…

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...

See similar textbooks

Similar questions

The proportion of people in a given community who have Covid-19 infection is 0.005. A test is available to diagnose the disease. If a person has Covid-19, the probability that the test will produce a positive signal is 0.009 . If a person does not have the Covid-19, the probability that the test will produce a positive signal is 0.01. What is the probability that the test will generate positive signal? Which model/rule will best be good for solving the above problem and why? Comment on the types of events you see in the problem and name them.
In a survey of recent attendees at a Wedding with no Mask or Social distance during the Covid pandemic, if a person is mildly sick, there is a 48% chance he or she has Covid-19, if a person shows no symptoms, there is a 12% chance he or she has Covid-19 and if a person is badly sick, there is a 72% chance he or she has Covid-19. Of the persons surveyed, 20% were mildly sick, 60% showed no symptoms and 20% were badly sick. What is the probability a randomly selected person has Covid-19? Given that the Person has Covid -19, What is the probability that he or she is badly sick Select one: a. 0.6000, 0.30 b. 0.0960, 0.50 c. 0.1440, 0.25 d. 0.3120, 0.4615
3.3.17 A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a six or jack. (b) Compute the probability of randomly selecting a six or jack or two. (c) Compute the probability of randomly selecting a jack or heart. a. P(six or jack) = (Round to three decimal places as needed.)
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 ?
Consider 2 experiments. Experiment 1:4 fair dices are tossed. The person wins he/she gets one or more 1's. Experiment 2: 8 fair dices are tossed. The person wins if he/she gets two or more l’s. Identify which experiment has a higher probability of winning.
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.
Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration's willingness to pay to save a student statistical life is no more than $100,000 $1,000,000 $50,000 $33,333
A veterinary hospital manager suspects that pet owners visit the veterinarian less than 3 times a year. To verify this suspicion, he hires a market research agency that takes a random sample of 64 clients and asks them the number of times they go to the veterinarian per year. The decision the market researcher makes is that if 2.8, then he will have sufficient evidence to say that the manager's suspicion is true. Assume that the frequency of visiting the veterinarian has a standard deviation of 1.02. a) Write the null hypothesis and the alternative hypothesis in this case. b) What is the rejection region used by the investigator? c) What is the probability of type I. error if this rejection region is used? d) If the true mean of the number of visits to the veterinarian is = 2.7, what is the probability of type II error? e) If the true mean of the number of visits to the veterinarian is = 2.7, what is the power of the test? f) If the true mean of the number of visits to…
In a study of chromosomal anomalies observed in a randomly selected sample of 1200 infertile men with either a zero or low sperm count, a team of researchers assigned the value of 1 for the presence of any chromosomal anomaly in the subject's sperm and the value of 0 for the absence of all chromosomal anomalies in the subject's sperm.Of the 600 men with zero sperm count, 48 had chromosomal anomalies. Of the 600 men with low sperm count, 15 had chromosomal anomalies. The researchers would like to test the hypothesesHo: P1 = P2Ha: P1 does not equal P2where p₁ the true proportion of all men with zero sperm count that have chromosomal anomalies and p₂ = the true proportion of all men with low sperm count that have chromosomal anomalies.What is the z standardized test statistic, for this test?
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?
In a study of 213,270 cell phone users, it was found that 77 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000397 probability of a person developing cancer of the brain or nervous system. We therefore expect about 85 cases of such cancer in a group of 213,270 people. Estimate the probability of 77 or fewer cases of such cancer in a group of 213,270 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(x ≤ 77) = (Round to four decimal places as needed.)

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS