3. A manager of a sandwich shop has four employees. Their names are: Xerxes, Darius, Pericles and Homer. Homer was concerned that having four employees would make this problem too complex, so he quit to pursue a career in taxidermy and will not be part of the problem. He also owns a cat named "Puddles", but that is not relevant to this problem and is mentioned only as colorful background information. The sandwich shop features a sandwich called "The Blandwich" which is just 2 slices of bologna on two slices of white bread. The complete lack of any condiments or additional items that would add flavor (such as peppers or onions) is a key selling point for this culinary catastrophe. The employees are horrified by how bland the sandwich is and when they make it, often sneak in additional items. The table below indicates how often each employee adds a condiment and the type. Only one type of condiment is added per sandwich by an employee, if one is added. In addition, only one extra item is added per sandwich if one is added. One employee makes each sandwich. Table 1: Probability of Adding Each Condiment Ketchup Mayo Jelly Xerxes 0.03 0.05 0.1 Darius 0.2 0.01 0.09 Pericles 0.01 0.01 0.15 If no condiment is added, there is a 25% chance an item will be added according to the table below (please calculate the missing values): Table 2: Probability of Adding Each Item Pepper Onion Xerxes 0.2 Darius 0.4 Pericles 0.35lfa condiment has been added, there is a 65% chance that an item will also be added based on the table below {please fill in the missing values]: Table 3: Probability of Adding Each Item Pepper Onion Xerxes 0.6 Darius 0.7 Pericles 0.1 a. Please complete tables 2 8t. 3. b. Please show the tree that shows the conditional probabilities for this problem. What is the chance that a customer orders a "Blandwich" and gets a true "Blandwich", with no condiments or extra items? lfa customer got a "Blandwich" containing Jelly and Onion, what is the chance that Pericles made it? Which employee is producing the largest number of "Blandwiches" which have a condiment, an extra item or both? What is the chance of getting a "Blandwich" with only onions