(a) According to the Australian Department of Industry, Tourism and Resources (DITR), 8% of the total employment in NSW is related to manufactured exports. A sample of 150 employees in NSW is randomly selected. Using normal approximation to the binomial distribution, determine the probability that between 10 and 20 (inclusively) of the employees have jobs related to manufactured exports. Use continuity correction. (b) Andrew Raman, Operations Manager at Sydney's International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for 36 walk-in customers. If the population of waiting times has a mean of 11 minutes and a standard deviation of 3.5 minutes, (i) what is the probability that Andrew's sample of 36 will have a mean less than 12 minutes? (ii) The mean of these 36 samples has the probability of 0.0668 of exceeding a certain value. What is that value