1)

A study is done to determine the prevalence of certain symptoms of COVID-19. In a study of 250 patients with positive COVID-19 tests, the following data was obtained: 176 had dry cough, 139 presented with high-grade fevers, and 102 had sore throats. 96 patients had dry coughs and high-grade fevers, 71 had dry coughs and sore throats, and 58 had high-grade fevers and sore throats. 41 patients presented with all three symptoms. a. What is the probability that a randomly-selected COVID-19 patient had exactly 1 of these symptoms (i.e. they had one symptom but not the other 2)? Round to three decimal places if applicable b. What is the probability that a randomly-selected COVID-19 patient did not have any of these symptoms? A study is done to determine the most popular type of over-the-counter pain medication: Under 40 Between 41-65 Over 65 Total Acetaminophen 82 108 36 226 Ibuprofen 88 72 23 183 Naproxen 9 9 42 60 Aspirin 3 10 18 31 Total 182 199 119 500 a. P(Acetaminophen OR Under 40) = Round to three decimal places if applicable b. P( Aspirin | Over 65) = Round to three decimal places if applicable