In the annual convention, the guests were assigned to dfferent hotels. 50%, 20% and 30% were assigned to the Hotel A, Hotel B and Hotel C, respectively. According to customer feedback, 5% of the rooms...

In the annual convention, the guests were assigned to dfferent hotels. 50%, 20% and 30% were assigned to the Hotel A, Hotel B and Hotel C, respectively. According to customer feedback, 5% of the rooms at Hotel A have malfunctioning showers,4% of the rooms at hotel B, and 8% for Hotel C.


a. Draw a venn diagram illustrating the given information.
b. What is the probability that a guest will be assigned a room with a working shower?
c. What is the probability that a guest whose room has a malfunctioning shower was assigned to Hotel C?