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a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sample b. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus. c. What percent of the samples tested bv the laboratorv are reported to contain no trace of COVID 19 virus?

a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sample b. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus. c. What percent of the samples tested bv the laboratorv are reported to contain no trace of COVID 19 virus?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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3. Samples arriving at a certain laboratory may be given a number of tests to determine the presence of COVID 19 virus. If the result of test A is positive, then the sample is subjected to test B. If the result of test B is positive, then it is subjected to test C. If the result of test C is positive, then it is assumed that the sample contains COVID 19 virus. Suppose that the probabilities of false positives for the tests A, B, and C are 0.05, 0.10 and 0.15, respectively, and the probabilities of false negatives are 0.01, 0.02 and 0.03, respectively. Furthermore, suppose that 10% of samples arriving at the laboratory contain COVID 19 virus.
Transcribed Image Text:3. Samples arriving at a certain laboratory may be given a number of tests to determine the presence of COVID 19 virus. If the result of test A is positive, then the sample is subjected to test B. If the result of test B is positive, then it is subjected to test C. If the result of test C is positive, then it is assumed that the sample contains COVID 19 virus. Suppose that the probabilities of false positives for the tests A, B, and C are 0.05, 0.10 and 0.15, respectively, and the probabilities of false negatives are 0.01, 0.02 and 0.03, respectively. Furthermore, suppose that 10% of samples arriving at the laboratory contain COVID 19 virus.
a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sample b. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus. c. What percent of the samples tested bv the laboratorv are reported to contain no trace of COVID 19 virus? d. What perc of the samples tested by the laboratory will report the absence of COVID 19 virus in a sample?
Transcribed Image Text:a. Find the probability that the laboratory will falsely assume the absence of COVID 19 virus in the sample b. Find the probability of samples tested by the laboratory is reported to contain COVID 19 virus. c. What percent of the samples tested bv the laboratorv are reported to contain no trace of COVID 19 virus? d. What perc of the samples tested by the laboratory will report the absence of COVID 19 virus in a sample?
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