a) A laboratory performs on average 3 tests for investigating COVID-19, per week. Use Poisson's law to calculate the probability that in a given week the laboratory will test:i. Some individualsii. 2 or more individuals but less than 5 individuals. iii. Fewer than 7 individuals iv. At least 3 individuals v. Assuming that there are 5 working days per week, what is the probability that in a given day the laboratory will test one individual? b) Consider 4 patients visit a private clinic in the evening. There is a 60 % chance of fever along with cough. Assuming that the patients are independent of each other, what is the probability that: i. Fever along with cough will be diagnosed in 0 patients, 1 patient, 2 patients, 3 patients or 4 patients. The fever along with cough will be diagnosed in at least 1 patient? all 4 patients