4. (10 points) Suppose you are a hiring manager for ABC Furniture and are looking for a new salesperson to help improve sales. You are aware that not all salespeople give the same results: from your experience you believe a candidate may fall into one of three categories: a mediocre salesperson (50% probability), a competent salesperson (40% probability), and a talented salesperson (10% probability). Mediocre salespeople average $150,000 in sales annually, competent salespeople average $300,000 in sales annually, and talented salespeople average $500,000 in sales annually. a) (4 points) Compute the expected value and standard deviation of the total sales made by the new salesperson. b) (3 points) You plan to offer a base pay of $25,000 a year and a 5% commission on the new hire's sales. What is the expected annual salary that ABC Furniture will pay the new salesperson? What is the standard deviation? 0) (3 points) Now suppose you are trying to hire two salespeople rather than one. Assume the quality of one salesperson does not impact the quality of the other. What is the expected value and standard deviation of the combined annual sales of the two new salespeople