Linical Problem 1 (15 points) (Please use the z-Table.) The ABC Bank estimates that the annual credit card balance of their customers is normally distributed with mean $5000 and standard deviation of $1500. (a) What is the probability that the annual credit card balance of a single randomly selected customer of ABC Bank exceeds $8000? (b) Ten percent of the customers of this bank will have an annual credit balance of at least how many dollars? (c) What is the probability that 25 randomly sampled customers will have a sample mean credit card balance between $4000 and $6000? (d) What should the cut-off L be if the ABC Bank wants at least a 10% chance that the average credit card balance of a sample of 25 randomly selected customers falls above L