For questions 1-3, refer to the following information: The owner of a laboratory wants to minimize sick leave by keeping employees healthy through disease prevention programs. Many employees have contracted pneumonia leading to productivity problems due to sick leave from the disease. There is a vaccine for pneumococcal pneumonia, and the owner believes that it is important to get as many employees vaccinated as possible. Due to a production problem at the company that produces the vaccine, there was only enough to vaccinate half the employees. The company sent a nurse to every employee who contracted pneumonia to provide home health care. Among the employees, 33% were unvaccinated and did not contract pneumonia, while 8% were vaccinated and contracted pneumonia. Hint: Start by drawing a Venn diagram. 1. What is the probability a randomly chosen employee contracted pneumonia? (3 points) a. 0.08 b. 0. 1 '7 c. 0.25 d. 0.50 e. 0.67 What is the probability that a randomly chosen employee contracted pneumoAsi'iia given that they were not vaccinated? (3 points) a. 0.17 b. 0.25 c. 0.34 d. 0.50 e. 0.92 . Is an employee contracting pneumonia independent of an employee being vaccinated? Why or why not? (2 points) Yes, because :07 and S) #- P(V) * P(S). Yes, because ggv and S) i 0. No, because EV and S) P(V) * P(S). No, because V and S) 0. Cannot be determined from the given information. SUP-PET!\