Question 1 {a} [11} A smvey on the acceptance ol'e-wallet shows that T494: of consumers aged 41} and below are likely to use e-wallet as their primary payment method. On the other hand, 4?% of consumers aged above 40 are unlikely to use e-wallet as their primary payment method. Suppose that the survey was based on bill] respondents om each of the two age groups. (i) Construct a contingency table. (5 marks) [ii] What is the probability that a randomly selected respondent is likely to use e-wallet as the primary payment method? (2 marks) (iii) What is the probability that a randomly selected respondent is unlikely to use e-wallet as the primary payment method? (2 marks) (iv) What is the probability that e-wallet is likely to be used as the primary payment method, given that a consumer aged '11] and below? (2 marks) Punuctuality is an imPortant factor of a delivery service. A fast-food restatuant conducted an analysis on its delivery service, and it shows that 72.5% of the time, the food is delivered on time. Suppose that at one time there were 6 deliveries, (i) What is the probability that 4 orders were delivered on time? (2 marks) [ii] What is the probability that not more than 2 orders were delivered on time? {3 marks) (iii) Calculate the mean and the standard deviation of the distribution. (4 marks}