Water supply to a city on a given day comes from one of the three reservoirs, with a relative likelihood of 1:1:3 for Reservoirs A, B, and C, respectively. The supplied water may contain excessive bacteria 5%, 10%, and 2% of the time, respectively, if it came from Reservoir A, B, or C.

a) What is the probability that the water supplied to the city will contain excessive bacteria on a given day? P = ___________

b) If the water is found to contain no excessive bacteria on a given day, what is the probability that it came from Reservoir A? P = ________

c) Draw the final Venn diagram using the space provided below and label the probability for each region on the diagram.