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Answer ALL questions Question 1 (a) A bank branch located in a commercial district of a city has the business objective of developing an improved process for serving customers during the noon-to-1:00 PM lunch period. The waiting time, in minutes, is defined as the time the customer enters the line to when he or she reaches the teller window. Data collected from a sample of 15 customers during this hour are shown below. 4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.10 0.38 5.12 6.46 6.19 3.79 (1) Compute the mean, median, variance, and standard deviation. (8 marks) (1i) Compute Z scores for all data. Are there any outliers? Explain. (6 marks) (b) A survey by Accenture indicated that 68% of "millennials" are likely to ask for a pay raise, as compared to 45% of "baby boomers", Suppose that the survey was based on 500 respondents from each of the two generations. (1) Construct a contingency table. (5 marks) (ii) What is the probability that a randomly selected respondent is likely to ask for a pay raise? (2 marks) What is the probability that a randomly selected respondent is likely to ask for a pay raise and is a baby boomer? (2 marks) (iv) What is the probability that a randomly selected respondent is likely to not ask for a pay raise or is a millennials? (2 marks) [Total : 25 Marks]