The owner of a restaurant surveyed his customers and asked each one whether he or she would return and to rate the quality of the restaurant's food. The survey showed that of the total of 108 customers, 15 rated the quality of food as 'Fair', and 35 rated as 'Excellent'. Of the total of 65 customers who said they would return, 10 rated the quality of the food as 'Poor', and 20 rated as 'Good'. For the customers who said they would not return, 20 rated the quality of the food as 'Poor', and 5 rated as 'Excellent'. (i) Present the information provided above in a contingency table. [2 marks] (ii) Determine the probability that a randomly selected customer would say they would return and rate the restaurant's food as 'Good'. [2 marks] (iii) Determine the probability that a customer will return or will rate the food as 'Fair'. [2 marks] (iv) What proportion of customers who rate the restaurant's food as good would return to the restaurant? [1 mark] B. The manufacturer of cans of sardine that are supposed to have a net weight of 140 grams tells you that the net weight is actually a random variable with a mean of 121 grams and a standard deviation of 3.6 grams. Suppose that you take a random sample of 49 cans. Find the probability that the sample mean will be more than 141.5 grams.