To ascertain the effectiveness of a new, quicker, and simpler test for identifying COVID-19, a study was undertaken involving 921 participants. With this test, a postive result indicates the presence of COVID-19. Anegative result indicates the absence of COVID-19. Data collected to assess the effectiveness of this new test revealed: • 301 of the participants confirmed they acthually had COVID-19, with the other participants confirming they actually did not have COVID-19. • 17 participants actually had COVID-19 and produced a negative test result. • 448 participants produced a negative test rosult. A participant from the study is chosen at random. What is the probability the participant actually has COVID-19 or the test is positive? (3 decimal places)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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To ascertain the effectiveness of a new, quicker, and simpler test for identifying COVID-19, a study was undertaken involving 921 participants. With this
test, a positive result indicates the presence of COVID-19. Anegative result indicates the absence of COVID-19. Data collected to assess the effectiveness
of this new test revealed:
• 301 of the participants confirmed they actually had COVID-19, with the other participants confirming they actually did not have CCOVID-19.
• 17 participants actually had COVID-19 and produced a negative test result.
• 448 participants produced a negative tost result.
A participant from the study is chosen at random. What is the probability the participant actually has COVID-19 or the test is positive? (3 decimal places)
Transcribed Image Text:To ascertain the effectiveness of a new, quicker, and simpler test for identifying COVID-19, a study was undertaken involving 921 participants. With this test, a positive result indicates the presence of COVID-19. Anegative result indicates the absence of COVID-19. Data collected to assess the effectiveness of this new test revealed: • 301 of the participants confirmed they actually had COVID-19, with the other participants confirming they actually did not have CCOVID-19. • 17 participants actually had COVID-19 and produced a negative test result. • 448 participants produced a negative tost result. A participant from the study is chosen at random. What is the probability the participant actually has COVID-19 or the test is positive? (3 decimal places)
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