39. The bacterium Staphylococcus aureus is commonly found on the skin and rarely causes major problems. If it gets under the skin or into the lungs it can cause boils or pneumonia. If the strain of bacterium causing these problems is resistant to methicillin, the infections can be life threatening. Methicillin resistant Staphylococcus aureus or MRSA is, therefore, a major concern in hospitals and clinics. Supposing the death rate from MRSA lung infections is 20%, find the following probabilities: (a) Three of 20 patients with lung infections die. (b) Less than 3 die. (c) At least 3 die. (d) Between 6 and 3 die. (e) How many would you expect to die in a random sample of 20? of 15?