2. [STAT6102, 2015] The performance of individual sales professionals at Better Gadgets is measured by the total revenue generated each week by each member of staff, to the nearest pound. Previous experience indicates that the revenue generated by each sales professional each week is normally distributed with mean E1000 and standard deviation 100. [a] What is the probability that a particular member of staff generates more than 1200 in revenue in a given week? [b] A prize is given to staff whose sales revenue during any given week is above the 90th percentile of the revenue distribution. How much revenue must an employee generate to receive a prize in a given week? [c] A bonus is given to members of staff who generate more than 47150 in revenue over the course of a yea r, which consists of 46 working weeks. What percentage of staff will receive a bonus? (d) How would your answer to part (cl change if an individual's sales revenue was not normally distributed? Justify your