Question: please refer to attachment Problem 3. (12 points) Wayne county is setting up a COVlD-l9 free testing station at the UM-Dearbom campus. The county managers

please refer to attachment

Problem 3. (12 points) Wayne county is setting up a COVlD-l9 free testing station at the UM-Dearbom campus. The county managers are expecting the number of testers is about 180 during the 9 AM - 5 PM operating hours. They also expect that the number of testers arriving is Poisson distributed. a) Calculate the number of testers expected in a one-hour interval, 30-minutes interval, and lOminutes internal for the managers. b) Currently, the managers plan to have 10 nurses available during the operating hours. So what is the probability of having 10 testers in a 30-minutes interval? (express the PMF formula and parameter values used clearly) c) What is the probability of having one or even less tester in a 10-minutes interval? (express the PMF formula and parameter values used clearly) d) What is the probability of more than two testers in a 10minutes interval? (express the PMF formula and parameter values used clearly)

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