Expected 2. by customers by integers from to 5, where rating 1 means "poor" and 5 means "excellent." This is known as a Likert scale. The probability of each rating, for both hotels, is given below. value is another way of thinking about an average. Suppose Hotel A and Hotel B are rated Rating1 Hotel A 0.05 0.10 0.35 0.30 0.20 Hotel B 0.20 0.10 0.10 0.20 0.40 2 3 a. Calculate the expected value (i.e., average rating) for Hotel A. b. Calculate the expected value for Hotel B. Suppose a hotel manager summarize customers' ratings by the average rating (e.g., average 3.5 stars). What is the limitation of summarizing a probability model by its expected value? c