A restaurant chain routinely surveys customers and, among other questions, asks each customer to rate the quality of the food, and to state whether they would return. Summarising hundreds of thousands of questionnaires, the table of joint probabilities below is produced. Rating Poor Customer will return 0.02 Fair 0.08 Customer will not return 0.10 0.09 Good 0.35 0.14 Excellent 0.20 0.02 a. What proportion of customers rated the restaurant's food as good and said that they would return? b. What proportion of customers who said that they would return rated the restaurant's food as good? c. What proportion of customers who rated the restaurant's food as good said that they would return? d. Discuss the differences in your answers to parts (a), (b) and (c).