3. 50%of patients in a clinic have Covid-19.30 percent of the clinic' s patients arehypertensive. Amongst those patientsdiagnosed with Covid-19, 22% arehy[ertensive. You are interested in knowingthe probability of a patient having Covid-19,given that he is hypertensive.4. A person has a cough and flu-likesymptoms and gets a PCR test forCOVID-19, which comes back positive.What is the likelihood that they actuallyhave COVID-19, as opposed to a regularcold or flu? Let' s say that the local rateof symptomatic individuals who actuallyare infected with COVID-19 is 5.95%; TheRT-PCR test used to identify COVID-19 RNAis highly specific (that is, it very rarely reportsthe presence of the virus when it is notpresent); for our example, we will say thatthe specificity is 97%. Its sensitivity is notknown but probably is no higher than 85%.

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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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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
A sample of 400 adults found that 82 have high blood pressure. However, 98 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 62% What is the probability that in a random sample of 470 headache sufferers, less than 59.9% obtain relief?
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?
56.7
A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?
45% of residents of State A are fully vaccinated against covid-19. 49% of residents of State B are fully vaccinated against covid-19. We randomly select one person from each state. What is the probability that at least one of these two people is fully vaccinated against covid-19? Round your answer to two decimals, such as 0.94,
A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)
A Gallup Poll found that 0.07 of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer camp there are 11 teenagers sleeping in each tent. Assume that these 11 teenagers are independent of each other. Calculate the probability that at most 3 of them suffers from arachnophobia in testing this the third time. the topic is bayesian updating.
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.)
Suppose that if person with tuberculosis is given a TB screening, the probability that his or her condition will be detected is 0.90. If a person without tuberculosis is given a TB screening , the probability that he or she will be diagnosed incorrectly as having tuberculosis is 0.3. Suppose, further, that 11% of the adult residents of a certain city have tuberculosis. If one of these adults is diagnosed as having tuberculosis based on the screening, what is the probability that he or she actually has tuberculosis?
A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?

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3. 50%of patients in a clinic have Covid-19. 30 percent of the clinic' s patients are hypertensive. Amongst those patients diagnosed with Covid-19, 22% are hy[ertensive. You are interested in knowing the probability of a patient having Covid-19,