3. Assume that about 15% of the population in a city is infected with a microbe. Patients streaming into a healthcare facility are tested for the microbe, and quarantined if they test positive for it. Further, out of abundance of caution for the safety of the healthcare workers, a healthcare worker is excused for the day as soon as he/she tests the sixth infected patient in a day. (a) What random variable best describes the number of patients a healthcare worker can test in a day before being excused? (b) What parameter(s) describe the random variable? What is (are) the value(s) of the parameter(s)? (c) A healthcare worker is paid $8 for every test he/she administers. Assuming that the healthcare facility is open every day, estimate the average daily earnings of the healthcare worker. What is the range of daily earnings within one standard deviation of the average? 4. This problem is based on the situation described in Problem 3. Assume the healthcare facility tests 100 patients per day for the microbe. (a) What random variable best describes the number of infected patients the facility will see in a clay? (b) What parameter(s) describe the random variable? What is (are) the value(s) of the parameter(s)? (0) Only one healthcare worker is assigned to administer the tests at any given time. If the worker is excused, then another worker is assigned to continue administering the tests. How many healthcare workers must the facility hire to ensure that they can handle up to one stande deviation over the average number of infected patients that they expect to see on any given day? Explain your