Question 4 (10 marks) Marks a. An online wine shop in Victoria advertises that it will deliver the wines within the state that customers purchase within 2 to 4 days. Purchases always arrive within a maximum of 6 days. The manager of this shop wants to be more precise with the advertising. Accordingly, she records the number of days it takes to deliver wine to customers. From the data, the following probability distribution is developed. Number of days x P(x) P(x) (x) 0.05 N - 0.08 3 0.33 0.40 0.12 0.02 i. What is the probability that the purchased wines will be delivered early? [1] ii. What is the probability that a wine delivery will be made within the advertised 2-to-4-day period? [1] ii. What is the probability that the purchased wines will be delivered late? [1] iv. Complete the table and hence, or otherwise, calculate the mean number of days of the delivery of the purchased wines to customers. [2]