Consider the Venn diagram below. Each of the dots outside the circle represents a patient questioned in a medical student's survey. In this experiment, 5 patients were asked about their Vitamin C use and whether they had had a cold in the past two months. The patients are labeled with their names: Amelia, Charlotte, Daniel, Emery, and Paul. The two events represented in the Venn diagram are: Event A: The event that a patient takes a daily Vitamin C pill. Event B: The event that a patient has had a cold in the past two months. Amelia, Charlotte, and Emery state that they take a daily Vitamin C pill. Emery and Paul state that they have had a cold in the past two months. Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.