3. (10 points) Based on records of an online store, 40% of all customers pay by credit card. It is also known that 30% of all customers are from North America, and 55% of the customers from North America pay by credit card. Suppose one customer of the online store is selected at random. Let A denote the event that the customer paid With card, and let B denote the event that the chosen customer is from North America. (a) (5 points) Are A and B independent ? Justify your answer. (b) (5 points) Continue with part (a). Compute the probability that the chosen customer is not from North America and paid with a credit card. Hint: Use the Venn Diagram 01' check the formula sheet