A restaurant advertises two types of dessert, apple strudel and blueberry cake. It is known that 62% of all customers order apple strudels, and 38% order blueberry cakes All customers are individually asked if they were satisfied. This survey shows that 75% of those who ordered apple strudels and 88% 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? Round all final answers to 4 decimals. (iii) S a) Fill in the probability tree values: a. (i): b. (ii): (iv) NS C. (iii): (v) d. (iv): (ii) e. (v): f. (vi): (vi) NS b) Write down the results of your probability tree diagram below:, a. P( A and S) = b. P( A and N S) = c. P( Band S) = d. P( B and N S) = c) If a randomly selected customer was satisfied with his/her dessert, what is the probability that the customer ordered a blueberry cake