A restaurant advertises two types of dessert, apple strudel and blueberry cake. It is known that 60% of all customers order apple strudels, and 40% order blueberry cakes. All customers are individually asked if they were satisfied. This survey shows that 80% of those who ordered apple strudels and 86% of those who ordered blueberry cakes were satisfied. If A represents the event of ordering an apple strudel, B is the event of ordering a blueberry cake. S is the event of being satisfied, and NS is the event of not being satisfied, then answer the following questions: Dessert Satisfied? (zii S NS (17) NS Q Round all final answers to 4 decimals. (a) Fill in the probability tree values: (i): (ii): (iii): (iv): (U): (vi):(b) Write down the results of your probability tree diagram below: P( A and S) = P( A and NS) = P(B and S) = P(B and NS) = (c) If a randomly selected customer was satisfied with his/her dessert, what is the probability that the customer ordered a blueberry cake