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6. [15 points] A COVID-19 test has three major steps. For the test to work properly, each step has to work properly. The individual

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6. [15 points] A COVID-19 test has three major steps. For the test to work properly, each step has to work properly. The individual reliability of the three steps are 0.92, 0.98, and 0.95. a. What is the reliability of the test? Show calculations. b. After a revision of the test procedure, the reliability of the first step was increased to 0.96. The second and third step's reliabilities were unchanged. What is the new reliability of the test? Show calculations. c. What percent improvement in reliability in the second test? (Hint: Calculate the percent increase in reliability compared to the original reliability. You must use the % change formula to calculate the percent improvement). Show calculations. 7. [15 points] Given the following diagram, determine the total system reliability if the individual component reliabilities are: A = 0.80, B = 0.85, C = 0. 88, and D = 0.83. (Hint: Use equations 5.2 and 5.3 and note that the reliabilities of the parallel components are different.) A

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