A mall developer surveyed 500 customers yesterday to learn w

A mall developer surveyed 500 customers yesterday to learn what they go shopping for at the mall. 335 customers said they shopped for clothes. 295 customers said they went shopping for electronics. 165 customers said they shopped for both clothes and electronics.

(a) What is the probability that a single randomly-selected customer shopped for either clothing or electronics yesterday but not both? Show work.

(b) Let C = {customers shopping for clothes} and E = {customers shopping for electronics}. Determine the number of customers belonging to each of the regions I, II, III, IV.

Solution